Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 journals)            First | 1 2 3 4     

Showing 601 - 538 of 538 Journals sorted alphabetically
Research in Nondestructive Evaluation     Hybrid Journal   (Followers: 7)
Research in Number Theory     Hybrid Journal   (Followers: 1)
Research in the Mathematical Sciences     Open Access  
Research Journal of Pure Algebra     Open Access   (Followers: 1)
Researches in Mathematics     Open Access  
Results in Control and Optimization     Open Access   (Followers: 7)
Results in Mathematics     Hybrid Journal  
Results in Nonlinear Analysis     Open Access  
Review of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Reviews in Mathematical Physics     Hybrid Journal   (Followers: 1)
Revista Baiana de Educação Matemática     Open Access  
Revista Bases de la Ciencia     Open Access  
Revista BoEM - Boletim online de Educação Matemática     Open Access  
Revista Colombiana de Matemáticas     Open Access   (Followers: 1)
Revista de Ciencias     Open Access  
Revista de Educación Matemática     Open Access  
Revista de la Escuela de Perfeccionamiento en Investigación Operativa     Open Access  
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas     Partially Free  
Revista de Matemática : Teoría y Aplicaciones     Open Access   (Followers: 1)
Revista Digital: Matemática, Educación e Internet     Open Access  
Revista Electrónica de Conocimientos, Saberes y Prácticas     Open Access  
Revista Integración : Temas de Matemáticas     Open Access  
Revista Internacional de Sistemas     Open Access  
Revista Latinoamericana de Etnomatemática     Open Access  
Revista Latinoamericana de Investigación en Matemática Educativa     Open Access  
Revista Matemática Complutense     Hybrid Journal  
Revista REAMEC : Rede Amazônica de Educação em Ciências e Matemática     Open Access  
Revista SIGMA     Open Access  
Ricerche di Matematica     Hybrid Journal  
RMS : Research in Mathematics & Statistics     Open Access  
Royal Society Open Science     Open Access   (Followers: 7)
Russian Journal of Mathematical Physics     Full-text available via subscription  
Russian Mathematics     Hybrid Journal  
Sahand Communications in Mathematical Analysis     Open Access  
Sampling Theory, Signal Processing, and Data Analysis     Hybrid Journal   (Followers: 1)
São Paulo Journal of Mathematical Sciences     Hybrid Journal  
Science China Mathematics     Hybrid Journal   (Followers: 1)
Science Progress     Full-text available via subscription   (Followers: 1)
Sciences & Technologie A : sciences exactes     Open Access  
Selecta Mathematica     Hybrid Journal   (Followers: 1)
SeMA Journal     Hybrid Journal  
Semigroup Forum     Hybrid Journal   (Followers: 1)
Set-Valued and Variational Analysis     Hybrid Journal  
SIAM Journal on Applied Mathematics     Hybrid Journal   (Followers: 13)
SIAM Journal on Computing     Hybrid Journal   (Followers: 12)
SIAM Journal on Control and Optimization     Hybrid Journal   (Followers: 21)
SIAM Journal on Discrete Mathematics     Hybrid Journal   (Followers: 8)
SIAM Journal on Financial Mathematics     Hybrid Journal   (Followers: 3)
SIAM Journal on Mathematics of Data Science     Hybrid Journal   (Followers: 7)
SIAM Journal on Matrix Analysis and Applications     Hybrid Journal   (Followers: 3)
SIAM Journal on Optimization     Hybrid Journal   (Followers: 15)
Siberian Advances in Mathematics     Hybrid Journal  
Siberian Mathematical Journal     Hybrid Journal  
Sigmae     Open Access  
SILICON     Hybrid Journal  
SN Partial Differential Equations and Applications     Hybrid Journal  
Soft Computing     Hybrid Journal   (Followers: 8)
Statistics and Computing     Hybrid Journal   (Followers: 14)
Stochastic Analysis and Applications     Hybrid Journal   (Followers: 3)
Stochastic Partial Differential Equations : Analysis and Computations     Hybrid Journal   (Followers: 2)
Stochastic Processes and their Applications     Hybrid Journal   (Followers: 6)
Stochastics and Dynamics     Hybrid Journal   (Followers: 2)
Studia Scientiarum Mathematicarum Hungarica     Full-text available via subscription   (Followers: 1)
Studia Universitatis Babeș-Bolyai Informatica     Open Access  
Studies In Applied Mathematics     Hybrid Journal   (Followers: 1)
Studies in Mathematical Sciences     Open Access   (Followers: 1)
Superficies y vacio     Open Access  
Suska Journal of Mathematics Education     Open Access   (Followers: 1)
Swiss Journal of Geosciences     Hybrid Journal   (Followers: 1)
Synthesis Lectures on Algorithms and Software in Engineering     Full-text available via subscription   (Followers: 2)
Synthesis Lectures on Mathematics and Statistics     Full-text available via subscription   (Followers: 1)
Tamkang Journal of Mathematics     Open Access  
Tatra Mountains Mathematical Publications     Open Access  
Teaching Mathematics     Full-text available via subscription   (Followers: 10)
Teaching Mathematics and its Applications: An International Journal of the IMA     Hybrid Journal   (Followers: 4)
Teaching Statistics     Hybrid Journal   (Followers: 8)
Technometrics     Full-text available via subscription   (Followers: 8)
The Journal of Supercomputing     Hybrid Journal   (Followers: 1)
The Mathematica journal     Open Access  
The Mathematical Gazette     Full-text available via subscription   (Followers: 1)
The Mathematical Intelligencer     Hybrid Journal   (Followers: 1)
The Ramanujan Journal     Hybrid Journal  
The VLDB Journal     Hybrid Journal   (Followers: 2)
Theoretical and Mathematical Physics     Hybrid Journal   (Followers: 8)
Theory and Applications of Graphs     Open Access  
Topological Methods in Nonlinear Analysis     Full-text available via subscription  
Transactions of the London Mathematical Society     Open Access   (Followers: 1)
Transformation Groups     Hybrid Journal  
Turkish Journal of Mathematics     Open Access  
Ukrainian Mathematical Journal     Hybrid Journal  
Uniciencia     Open Access  
Uniform Distribution Theory     Open Access  
Unisda Journal of Mathematics and Computer Science     Open Access  
Unnes Journal of Mathematics     Open Access   (Followers: 1)
Unnes Journal of Mathematics Education     Open Access   (Followers: 2)
Unnes Journal of Mathematics Education Research     Open Access   (Followers: 1)
Ural Mathematical Journal     Open Access  
Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki     Open Access  
Vestnik St. Petersburg University: Mathematics     Hybrid Journal  
VFAST Transactions on Mathematics     Open Access   (Followers: 1)
Vietnam Journal of Mathematics     Hybrid Journal  
Vinculum     Full-text available via subscription  
Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics     Open Access   (Followers: 3)
Water SA     Open Access   (Followers: 1)
Water Waves     Hybrid Journal  
Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik     Hybrid Journal   (Followers: 1)
ZDM     Hybrid Journal   (Followers: 2)
Zeitschrift für angewandte Mathematik und Physik     Hybrid Journal   (Followers: 2)
Zeitschrift fur Energiewirtschaft     Hybrid Journal  
Zetetike     Open Access  

  First | 1 2 3 4     

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Results in Mathematics
Journal Prestige (SJR): 0.582
Citation Impact (citeScore): 1
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1420-9012 - ISSN (Online) 1422-6383
Published by Springer-Verlag Homepage  [2468 journals]
  • Fractional Slice Regular Functions of a Quaternionic Variable

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      Abstract: Abstract The theory of slice regular functions of a quaternionic variable on the unit ball of the quaternions was introduced by Gentili and Struppa in 2006 and nowadays it is a well established function theory, especially in view of its applications to operator theory. In this paper, we introduce the notion of fractional slice regular functions of a quaternionic variable defined as null-solutions of a fractional Cauchy–Riemann operators. We present a fractional Cauchy–Riemann operator in the sense of Riemann–Liouville and then in the sense of Caputo, with orders associated to an element of \((0,1)\times {\mathbb {R}} \times (0,1)\times {\mathbb {R}}\) for some axially symmetric slice domains which are new in the literature. We prove a version of the representation theorem, of the splitting lemma and we discuss a series expansion.
      PubDate: 2023-12-02
       
  • On a Coefficient Inequality for Carathéodory Functions

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      Abstract: Abstract In the paper we consider a general inequality \( p_{n-1}p_{n+1}-p_n{}^2 \le 4- p_1 ^2\) involving coefficients of functions with a positive real part. We prove this inequality for \(n=2\) and \(n=3\) . Consequently, the relative inequalities involving coefficients of Schwarz functions are obtained. As an application, the two sharp estimates of the Hankel determinants \(H_{3,1}\) and \(H_{2,3}\) are proved for functions in \({\mathcal S}^*(1/2)\) and \({\mathcal {M}}\) , respectively.
      PubDate: 2023-12-02
       
  • Approximation by Truncated Max-Product Sampling Kantorovich Operators in
           $$L^p$$ Spaces

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      Abstract: Abstract In this paper, we obtain Jackson type theorem of approximation by truncated max-product sampling Kantorovich operators in \(L^p\) spaces. Our results generalize those of Coroianu et al. (Anal Appl 19:219–244, 2021) and Coroianu and Gal (J Integral Equat Appl 29:349–364, 2017). We use the equivalence between the \(K-\) functional and the modulus of continuity of f, and the Hardy–Littlewood maximal function as the main tools in the proofs, and also give some examples to apply the main result.
      PubDate: 2023-12-02
       
  • A Flett Theorem for the Riemann–Stieltjes Integral

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      Abstract: Abstract By employing Riesz decomposition theorem about monotone functions, we prove a Flett type theorem for the Riemann–Stieltjes integral and related integral mean value results. Then, since monotone functions are inner functions for gauge integrable functions, we revisit classical mean value integral theorems in terms of the gauge integral.
      PubDate: 2023-12-02
       
  • A Note on Best Constants for Weighted Integral Hardy Inequalities on
           Homogeneous Groups

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      Abstract: Abstract The main aim of this note is to prove sharp weighted integral Hardy inequality and conjugate integral Hardy inequality on homogeneous Lie groups with any quasi-norm for the range \(1<p\le q<\infty \) . We also calculate the precise value of sharp constants in respective inequalities, improving the result of Ruzhansky and Verma (Proc R Soc A 475:20180310, 2019) in the case of homogeneous groups.
      PubDate: 2023-12-02
       
  • Multiple Expansion Formulas over Root Systems

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      Abstract: Abstract In this paper, we deduce several multiple expansion formulas over root systems. These formulas give some multiple extensions of an expansion formula of Liu. From these formulas, we establish multiple expansion formulas for infinite products, a \(C_{n}\) extension of Rogers’ non-terminating \(\text {}_{6}\phi _{5}\) summation formula and multiple expansion formulas for \((q)_{\infty }^{m}.\) As applications, we deduce several \(C_{n}\) and \(D_{n}\) extensions of finite/semi-finite forms of the quintuple product identity, a multiple extension of an expansion formula of Liu and a \(C_{n}\) extension of Liu’s extension of Rogers’ \(\text {}_{6}\phi _{5}\) summation formula.
      PubDate: 2023-12-02
       
  • Exponential Rationals

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      Abstract: Abstract Several authors studied the so called exponential polynomials, characterized as solutions to the equation $$\begin{aligned} f(x+y) = \sum _{k=1}^nu_i(x)v_i(y). \end{aligned}$$ In the present paper we deal with a more general equation $$\begin{aligned} \sum _{j=1}^M P_j(x,y) f_j(a_jx + c_j y) = \sum _{k=1}^n u_k(x)v_k(y). \end{aligned}$$ Here all \(f_j, \ u_k, \ v_k\) are assumed to be unknown scalar functions on \({\mathbb {R}}^d,\)   while \(P_j\) are polynomials. We prove that \(f_j\) are ratios of exponential polynomials and polynomials, or sums of exponential functions multiplied by rational functions.
      PubDate: 2023-12-02
       
  • Rough Fractional Hausdorff Operators on Morrey–Herz Spaces with
           Variable Exponents

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      Abstract: Abstract In this paper, we study the rough fractional Hausdorff operator on variable exponent Morrey–Herz spaces in the setting of the Heisenberg group. We define Morrey–Herz spaces with three variable exponents and then give sufficient and necessary conditions for the boundedness of the rough fractional Hausdorff operator.
      PubDate: 2023-11-29
       
  • Bergman Projection on Lebesgue Space Induced by Doubling Weight

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      Abstract: Abstract Let \(\omega \) and \(\nu \) be radial weights on the unit disc of the complex plane, and denote \(\sigma =\omega ^{p'} \nu ^{-\frac{p'}{p}}\) and \(\omega _x =\int _0^1\,s^x \omega (s)\,ds\) for all \(1\le x<\infty \) . Consider the one-weight inequality $$\begin{aligned} \Vert P_\omega (f)\Vert _{L^p_\nu }\le C\Vert f\Vert _{L^p_\nu },\quad 1<p<\infty , \qquad \qquad (\dagger ) \end{aligned}$$ for the Bergman projection \(P_\omega \) induced by \(\omega \) . It is shown that the moment condition $$\begin{aligned} D_p(\omega ,\nu )=\sup _{n\in {\mathbb {N}}\cup \{0\}} \frac{\left( \nu _{np+1}\right) ^\frac{1}{p}\left( \sigma _{np'+1} \right) ^\frac{1}{p'}}{\omega _{2n+1}}<\infty \end{aligned}$$ is necessary for ( \(\dagger \) ) to hold. Further, \(D_p(\omega ,\nu )<\infty \) is also sufficient for ( \(\dagger \) ) if \(\nu \) admits the doubling properties \(\sup _{0\le r<1}\frac{\int _r^1\nu (s) s\,ds}{\int _{\frac{1+r}{2}}^1\nu (s)s\,ds}<\infty \) and \(\sup _{0\le r<1}\frac{\int _r^1\nu (s)s\,ds}{\int _r^{1-\frac{1-r}{K}} \nu (s)s\,ds}<\infty \) for some \(K>1\) . In addition, an analogous result for the one weight inequality \(\Vert P_\omega (f)\Vert _{D^p_{\nu ,k}} \le C\Vert f\Vert _{L^p_\nu }\) , where $$\begin{aligned} \Vert f \Vert _{D^p_{\nu , k}}^p =\sum \limits _{j=0}^{k-1}\vert f^{(j)}(0)\vert ^p +\int _{{\mathbb {D}}} \vert f^{(k)}(z)\vert ^p (1-\vert z \vert )^{kp} \nu (z)\,dA(z)<\infty , \quad k\in {\mathbb {N}}, \end{aligned}$$ is established. The inequality ( \(\dagger \) ) is further studied by using the necessary condition \(D_p(\omega ,\nu )<\infty \) in the case of the exponential type weights \(\nu (r)=\exp \left( -\frac{\alpha }{(1-r^l)^{\beta }} \right) \) and \(\omega (r)= \exp \left( -\frac{ \widetilde{\alpha }}{(1-r^{\widetilde{l}})^{\widetilde{\beta }}} \right) \) , where \(0<\alpha , \, \widetilde{\alpha }, \, l, \, \widetilde{l}<\infty \) and \(0<\beta , \, \widetilde{\beta }\le 1\) .
      PubDate: 2023-11-28
       
  • The p-Frobenius Problems for the Sequence of Generalized Repunits

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      Abstract: Abstract For a non-negative integer p, the p-Frobenius number, which is one of the generalized Frobenius numbers in terms of the number of representations, is the largest integer represented in at most p ways by a linear combination of nonnegative integers of given positive integers \(a_1,a_2,\ldots ,a_k\) with \(\gcd (a_1,a_2,\ldots ,a_k)=1\) . When \(p=0\) , it reduces to the classical Frobenius number. One of the most natural questions is to find a closed explicit form of the Frobenius number. When \(k=2\) , its explicit formula was discovered in the nineteenth century. When \(k\ge 3\) , explicit formulas are very difficult to obtain even for \(p=0\) . The case of \(p>0\) is even more difficult, and until recently there was no explicit formula for the Frobenius number even in a single case. However, we finally found explicit formulas for the p-Frobenius number, such as in the case of repunit. In this paper, we give closed formulas for the p-Frobenius number for the generalized repunit. The method is to analyze the structure of the p-Apéry set, which is a more general Apéry set. In the generalized repunit, the structure of the Apéry set is similar, but the position of the element that takes the maximum value is different, making it more difficult to identify.
      PubDate: 2023-11-27
       
  • Pairs of Linear Maps Sending Matrices Having a Fixed Product into Matrices
           with a Fixed Product at Some Vector

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      Abstract: Abstract Let \(n \ge 2\) be a natural number, and denote by \({\mathcal {M}}_{n}\) the algebra of all \(n\times n\) matrices over the complex field \({\mathbb {C}}\) . Let \(C\in {\mathcal {M}}_{n}\) be a fixed matrix, and let \(x_{0},y_{0}\in {\mathbb {C}} ^{n}\) be fixed vectors with \(x_{0}\ne 0\) . In this paper, we characterize linear maps \(\varphi ,\psi :{\mathcal {M}}_{n}\rightarrow {\mathcal {M}}_{n} \) , with \(\varphi \) bijective, having the property that \(\varphi \left( A\right) \psi \left( B\right) x_{0}=y_{0}\) in \({\mathbb {C}}^{n}\) whenever \(AB=C\) in \( {\mathcal {M}}_{n} \) .
      PubDate: 2023-11-25
       
  • Asymptotic Behavior for the Davey–Stewartson System at the
           Mass-Energy Threshold

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      Abstract: Abstract This paper is concerned with the mass-energy threshold dynamics for the elliptic–elliptic Davey–Stewartson system in dimension three. By proving the compactness of minimizing sequence for the Weinstein functional, we show the long time behavior of solutions with data being at the mass-energy threshold. Our proof is based on a Gagliardo–Nirenberg type inequality, localized virial estimates and the concentration-compactness lemma.
      PubDate: 2023-11-25
       
  • Circular Dini Surfaces in $${\mathbb {E}}^4$$

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      Abstract: Abstract We introduce a novel family of two-dimensional surfaces in \({\mathbb {E}}^4\) which generalize the classical Dini surfaces in \({\mathbb {E}}^3\) by inheriting their geometric features concerning the degeneration of the Bianchi-Bäcklund transformation.
      PubDate: 2023-11-22
       
  • Lower Density Type Operators with Borel Values

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      Abstract: Abstract We prove that the lower density operator associated with intensity points on the real line has Borel values. We also prove that the simple density operator and the complete density operator have Borel values.
      PubDate: 2023-11-22
       
  • Direct and Inverse Problems for a Third Order Self-Adjoint Differential
           Operator with Periodic Boundary Conditions and Nonlocal Potential

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      Abstract: Abstract A third order self-adjoint differential operator with periodic boundary conditions and an one-dimensional perturbation has been considered. For this operator, we first show that the spectrum consists of simple eigenvalues and finitely many eigenvalues of multiplicity two. Then the expressions of eigenfunctions and resolvent are described. Finally, the inverse problems for recovering all the components of the one-dimensional perturbation are solved. In particular, we prove the Ambarzumyan-type theorem and show that the even or odd potential can be reconstructed by three spectra.
      PubDate: 2023-11-22
       
  • Lie–Trotter Formulae in Jordan–Banach Algebras with Applications to
           the Study of Spectral-Valued Multiplicative Functionals

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      Abstract: Abstract We establish some Lie–Trotter formulae for unital complex Jordan–Banach algebras, showing that for any elements a, b, c in a unital complex Jordan–Banach algebra \(\mathfrak {A}\) the identities $$\begin{aligned}{} & {} \lim _{n\rightarrow \infty } \left( e^{\frac{a}{n}}\circ e^{\frac{b}{n}} \right) ^{n} = e^{a+b},\ \lim _{n\rightarrow \infty } \left( U_{e^{\frac{a}{n}}} \left( e^{\frac{b}{n}}\right) \right) ^{n} = e^{2 a+b}, \hbox { and }\\{} & {} \lim _{n\rightarrow \infty } \left( U_{e^{\frac{a}{n}},e^{\frac{c}{n}}} \left( e^{\frac{b}{n}}\right) \right) ^{n} = e^{a+b + c} \end{aligned}$$ hold. These formulae are actually deduced from a more general result involving holomorphic functions with values in \(\mathfrak {A}\) . These formulae are employed in the study of spectral-valued (non-necessarily linear) functionals \(f:\mathfrak {A}\rightarrow \mathbb {C}\) satisfying \(f(U_x (y))=U_{f(x)}f(y),\) for all \(x,y\in \mathfrak {A}\) . We prove that for any such a functional f,  there exists a unique continuous (Jordan-) multiplicative linear functional \(\psi :\mathfrak {A}\rightarrow \mathbb {C}\) such that \( f(x)=\psi (x),\) for every x in the connected component of the set of all invertible elements of \(\mathfrak {A}\) containing the unit element. If we additionally assume that \(\mathfrak {A}\) is a JB \(^*\) -algebra and f is continuous, then f is a linear multiplicative functional on \(\mathfrak {A}\) . The new conclusions are appropriate Jordan versions of results by Maouche, Brits, Mabrouk, Schulz, and Touré.
      PubDate: 2023-11-22
       
  • $${\mathcal {M}}$$ -Convex Hypersurfaces with Prescribed Shifted Gaussian
           Curvature in Warped Product Manifolds

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      Abstract: Abstract In this paper, we first give a notion of \({\mathcal {M}}\) -convexity, and then under suitable settings related to this superconvexity, we can obtain the existence of solutions to prescribed shifted Gaussian curvature equations in warped product manifolds of special type by the standard degree theory based on the a priori estimates for the solutions. This is to say that the existence of \({\mathcal {M}}\) -convex, closed hypersurface (which is graphic with respect to the base manifold and whose shifted Gaussian curvature satisfies some constraint) in a given warped product manifold of special type can be assured. Besides, different from prescribed Weingarten curvature problems in space forms, due to the \({\mathcal {M}}\) -convexity of hypersurfaces in the warped product manifold considered, we do not need to impose a sign condition for the radial derivative of the prescribed function in the shifted Gaussian curvature equation to prove the existence of solutions.
      PubDate: 2023-11-22
       
  • On Some Open Problems about P-Spaces, Strongly Quasi Baire Spaces and
           Choice

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      Abstract: Abstract In set theory without the full power of the axiom of choice ( \(\textbf{AC}\) ), we resolve open problems from Keremedis, Olfati and Wajch “On P-spaces and \(G_{\delta }\) -sets in the absence of the Axiom of Choice” on the deductive strength of statements concerning P-spaces and strongly quasi Baire spaces via positive and independence results. For some of the independence results, we construct three new permutation models of \(\textbf{ZFA}+\lnot \textbf{AC}\) , where \(\textbf{ZFA}\) denotes the Zermelo–Fraenkel set theory with atoms. Part of our \(\textbf{ZFA}\) -independence proofs are transferable to \(\textbf{ZF}\) (i.e. Zermelo–Fraenkel set theory without \(\textbf{AC}\) ).
      PubDate: 2023-11-22
       
  • Asymptotic Estimates for the Growth of Deformed Hankel Transform by
           Modulus of Continuity

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      Abstract: Abstract We derive asymptotic estimates for the growth of the norm of the deformed Hankel transform on the deformed Hankel–Lipschitz space defined via a generalised modulus of continuity. The established results are similar in nature to the well-known Titchmarsh theorem, which provide a characterization of the square integrable functions satisfying certain Cauchy–Lipschitz condition in terms of an asymptotic estimate for the growth of the norm of their Fourier transform. We also give some necessary conditions in terms of the generalised modulus of continuity for the boundedness of the Dunkl transform of functions in Dunkl–Lipschitz spaces, improving the Hausdorff–Young inequality for the Dunkl transform in this special scenario.
      PubDate: 2023-11-22
       
  • A Note on Invariant Description of SU(2)–Structures in Dimension 5

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      Abstract: Abstract We develop an invariant approach to SU(2)–structures on spin 5–manifolds. We characterize (via spinor approach) the subspaces in the spinor bundle which induce the same group isomorphic to SU(2). Moreover, we show how to induce quaternionic structure on the contact distribution of the considered SU(2)–structure. We show the invariance of certain components of the covariant derivative \(\nabla \varphi \) , where \(\varphi \) is any spinor field defining SU(2)–structure. This shows, as expected, that (at least some of) the intrinsic torsion modules can be derived invariantly with the spinorial approach. We conclude with the explicit description of the intrinsic torsion and the characteristic connection.
      PubDate: 2023-11-18
       
 
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