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 (GENERAL) (45 journals)

Showing 1 - 35 of 35 Journals sorted alphabetically
Acta Universitatis Sapientiae, Mathematica     Open Access  
Algebra Letters     Open Access   (Followers: 1)
American Journal of Computational Mathematics     Open Access   (Followers: 4)
American Journal of Mathematics and Statistics     Open Access   (Followers: 9)
Annals of Global Analysis and Geometry     Hybrid Journal   (Followers: 2)
Archiv der Mathematik     Hybrid Journal  
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry     Partially Free   (Followers: 2)
Bulletin of the American Mathematical Society     Open Access   (Followers: 5)
Communications in Mathematics     Open Access  
Communications in Mathematics and Statistics     Hybrid Journal   (Followers: 3)
Conformal Geometry and Dynamics     Full-text available via subscription  
Difficoltà in Matematica     Full-text available via subscription  
Ergodic Theory and Dynamical Systems     Hybrid Journal   (Followers: 3)
International Journal of Applied Metaheuristic Computing     Full-text available via subscription   (Followers: 2)
International Journal of Computing Science and Mathematics     Hybrid Journal   (Followers: 1)
International Journal of Mathematics and Statistics     Full-text available via subscription   (Followers: 2)
Journal of Elliptic and Parabolic Equations     Hybrid Journal  
Journal of Mathematical Physics     Hybrid Journal   (Followers: 26)
Journal of Physics A : Mathematical and Theoretical     Hybrid Journal   (Followers: 23)
Journal of the American Mathematical Society AMS     Full-text available via subscription   (Followers: 6)
Jurnal Fourier     Open Access   (Followers: 1)
Mathematical Journal of Interdisciplinary Sciences     Open Access   (Followers: 1)
Mathematical Programming     Hybrid Journal   (Followers: 15)
Mathematics     Open Access   (Followers: 3)
Mathematics of Computation     Full-text available via subscription   (Followers: 6)
Mathematika     Full-text available via subscription  
Memoirs of the American Mathematical Society AMS     Full-text available via subscription   (Followers: 2)
Optimization: A Journal of Mathematical Programming and Operations Research     Hybrid Journal   (Followers: 6)
Pesquimat     Open Access  
Pro Mathematica     Open Access  
Proceedings of the American Mathematical Society AMS     Full-text available via subscription   (Followers: 4)
Representation Theory     Full-text available via subscription   (Followers: 1)
St. Petersburg Mathematical Journal     Full-text available via subscription   (Followers: 1)
Theoretical Mathematics & Applications     Open Access  
Transactions of the Moscow Mathematical Society     Full-text available via subscription   (Followers: 1)
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Annals of Global Analysis and Geometry
Journal Prestige (SJR): 1.228
Citation Impact (citeScore): 1
Number of Followers: 2  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1572-9060 - ISSN (Online) 0232-704X
Published by Springer-Verlag Homepage  [2468 journals]
  • Some regularity of submetries

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      Abstract: Abstract We discuss regularity statements for equidistant decompositions of Riemannian manifolds and for the corresponding quotient spaces. We show that any stratum of the quotient space has curvature locally bounded from both sides.
      PubDate: 2024-02-21
       
  • Subgraphs of BV functions on RCD spaces

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      Abstract: Abstract In this work, we extend classical results for subgraphs of functions of bounded variation in \(\mathbb R^n\times \mathbb R\) to the setting of \({\textsf{X}}\times \mathbb R\) , where \({\textsf{X}}\) is an \({\textrm{RCD}}(K,N)\) metric measure space. In particular, we give the precise expression of the push-forward onto \({\textsf{X}}\) of the perimeter measure of the subgraph in \({\textsf{X}}\times \mathbb R\) of a \({\textrm{BV}}\) function on \({\textsf{X}}\) . Moreover, in properly chosen good coordinates, we write the precise expression of the normal to the boundary of the subgraph of a \({\textrm{BV}}\) function f with respect to the polar vector of f, and we prove change-of-variable formulas.
      PubDate: 2024-02-17
       
  • Some remarks on almost Hermitian functionals

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      Abstract: Abstract We study critical points of natural functionals on various spaces of almost Hermitian structures on a compact manifold \(M^{2n}\) . We present a general framework, introducing the notion of gradient of an almost Hermitian functional. As a consequence of the diffeomorphism invariance, we show that a Schur’s type theorem still holds for general almost Hermitian functionals, generalizing a known fact for Riemannian functionals. We present two concrete examples, the Gauduchon’s functional and a close relative of it. These functionals have been studied previously, but not in the most general setup as we do here, and we make some new observations about their critical points.
      PubDate: 2024-01-31
       
  • On subelliptic harmonic maps with potential

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      Abstract: Abstract Let \((M,H,g_H;g)\) be a sub-Riemannian manifold and (N, h) be a Riemannian manifold. For a smooth map \(u: M \rightarrow N\) , we consider the energy functional \(E_G(u) = \frac{1}{2} \int _M[ \textrm{d}u_\text {H} ^2 - 2\,G(u)] \textrm{d}V_M\) , where \(\textrm{d}u_\text {H}\) is the horizontal differential of u, \(G:N\rightarrow \mathbb {R}\) is a smooth function on N. The critical maps of \(E_G(u)\) are referred to as subelliptic harmonic maps with potential G. In this paper, we investigate the existence problem for subelliptic harmonic maps with potentials by a subelliptic heat flow. Assuming that the target Riemannian manifold has nonpositive sectional curvature and the potential G satisfies various suitable conditions, we prove some Eells–Sampson-type existence results when the source manifold is either a step-2 sub-Riemannian manifold or a step-r sub-Riemannian manifold whose sub-Riemannian structure comes from a tense Riemannian foliation.
      PubDate: 2024-01-30
       
  • Almost CR manifolds with contracting CR automorphism

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      Abstract: Abstract In this paper, we deal with a strongly pseudoconvex almost CR manifold with a CR contraction. We will prove that the stable manifold of the CR contraction is CR equivalent to the Heisenberg group model.
      PubDate: 2024-01-23
       
  • Instability of a family of examples of harmonic maps

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      Abstract: Abstract The radial map u(x) \(=\) \(\frac{x}{\Vert x\Vert }\) is a well-known example of a harmonic map from \({\mathbb {R}}^m\,-\,\{0\}\) into the spheres \({\mathbb {S}}^{m-1}\) with a point singularity at x \(=\) 0. In Nakauchi (Examples Counterexamples 3:100107, 2023), the author constructed recursively a family of harmonic maps \(u^{(n)}\) into \({\mathbb {S}}^{m^n-1}\) with a point singularity at the origin \((n = 1,\,2,\ldots )\) , such that \(u^{(1)}\) is the above radial map. It is known that for m \(\ge \) 3, the radial map \(u^{(1)}\) is not only stable as a harmonic map but also a minimizer of the energy of harmonic maps. In this paper, we show that for n \(\ge \) 2, \(u^{(n)}\) may be unstable as a harmonic map. Indeed we prove that under the assumption n > \({\displaystyle \frac{\sqrt{3}-1}{2}\,(m-1)}\) \((m \ge 3\) , \(n \ge 2)\) , the map \(u^{(n)}\) is unstable as a harmonic map. It is remarkable that they are unstable and our result gives many examples of unstable harmonic maps into the spheres with a point singularity at the origin.
      PubDate: 2024-01-09
       
  • Modular geodesics and wedge domains in non-compactly causal symmetric
           spaces

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      Abstract: Abstract We continue our investigation of the interplay between causal structures on symmetric spaces and geometric aspects of Algebraic Quantum Field Theory. We adopt the perspective that the geometric implementation of the modular group is given by the flow generated by an Euler element of the Lie algebra (an element defining a 3-grading). Since any Euler element of a semisimple Lie algebra specifies a canonical non-compactly causal symmetric space \(M = G/H\) , we turn in this paper to the geometry of this flow. Our main results concern the positivity region W of the flow (the corresponding wedge region): If G has trivial center, then W is connected, it coincides with the so-called observer domain, specified by a trajectory of the modular flow which at the same time is a causal geodesic. It can also be characterized in terms of a geometric KMS condition, and it has a natural structure of an equivariant fiber bundle over a Riemannian symmetric space that exhibits it as a real form of the crown domain of G/K. Among the tools that we need for these results are two observations of independent interest: a polar decomposition of the positivity domain and a convexity theorem for G-translates of open H-orbits in the minimal flag manifold specified by the 3-grading.
      PubDate: 2023-12-31
       
  • Immersions of Sasaki–Ricci solitons into homogeneous Sasakian
           manifolds

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      Abstract: Abstract We discuss local Sasakian immersion of Sasaki–Ricci solitons (SRS) into fiber products of homogeneous Sasakian manifolds. In particular, we prove that SRS locally induced by a large class of fiber products of homogeneous Sasakian manifolds are, in fact, \(\eta \) -Einstein. The results are stronger for immersions into Sasakian space forms. Moreover, we show an example of a Kähler–Ricci soliton on \(\mathbb C^n\) which admits no local holomorphic isometry into products of homogeneous bounded domains with flat Kähler manifolds and generalized flag manifolds.
      PubDate: 2023-12-14
       
  • Optimal transport approach to Michael–Simon–Sobolev inequalities in
           manifolds with intermediate Ricci curvature lower bounds

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      Abstract: Abstract We generalize McCann’s theorem of optimal transport to a submanifold setting and use it to prove Michael–Simon–Sobolev inequalities for submanifolds in manifolds with lower bounds on intermediate Ricci curvatures. The results include a variant of the sharp Michael–Simon–Sobolev inequality in Brendle’s (arXiv:2009.13717) when the intermediate Ricci curvatures are nonnegative.
      PubDate: 2023-12-13
       
  • From complex contact structures to real almost contact 3-structures

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      Abstract: Abstract We prove that every complex contact structure gives rise to a distinguished type of almost contact metric 3-structure. As an application, we provide several new examples of manifolds which admit taut contact circles, taut and round almost cosymplectic 2-spheres, and almost hypercontact (metric) structures. These examples generalize the well-known examples of contact circles defined by the Liouville-Cartan forms on the unit cotangent bundle of Riemann surfaces. Further, we provide sufficient conditions for a compact complex contact manifold to be the twistor space of a positive quaternionic Kähler manifold.
      PubDate: 2023-12-12
       
  • Families of degenerating Poincaré–Einstein metrics on $$\mathbb
           {R}^4$$

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      Abstract: Abstract We provide the first example of continuous families of Poincaré–Einstein metrics developing cusps on the trivial topology \(\mathbb {R}^4\) . We also exhibit families of metrics with unexpected degenerations in their conformal infinity only. These are obtained from the Riemannian version of an ansatz of Debever and Plebański–Demiański. We additionally indicate how to construct similar examples on more complicated topologies.
      PubDate: 2023-12-06
       
  • Commutativity of quantization with conic reduction for torus actions on
           compact CR manifolds

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      Abstract: Abstract We define conic reductions \(X^{\textrm{red}}_{\nu }\) for torus actions on the boundary X of a strictly pseudo-convex domain and for a given weight \(\nu \) labeling a unitary irreducible representation. There is a natural residual circle action on \(X^{\textrm{red}}_{\nu }\) . We have two natural decompositions of the corresponding Hardy spaces H(X) and \(H(X^{\textrm{red}}_{\nu })\) . The first one is given by the ladder of isotypes \(H(X)_{k\nu }\) , \(k\in {\mathbb {Z}}\) ; the second one is given by the k-th Fourier components \(H(X^{\textrm{red}}_{\nu })_k\) induced by the residual circle action. The aim of this paper is to prove that they are isomorphic for k sufficiently large. The result is given for spaces of (0, q)-forms with \(L^2\) -coefficient when X is a CR manifold with non-degenerate Levi form.
      PubDate: 2023-11-29
      DOI: 10.1007/s10455-023-09931-y
       
  • Sasaki–Einstein 7-manifolds and Orlik’s conjecture

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      Abstract: Abstract We study the homology groups of certain 2-connected 7-manifolds admitting quasi-regular Sasaki–Einstein metrics, among them, we found 52 new examples of Sasaki–Einstein rational homology 7-spheres, extending the list given by Boyer et al. (Ann Inst Fourier 52(5):1569–1584, 2002). As a consequence, we exhibit new families of positive Sasakian homotopy 9-spheres given as cyclic branched covers, determine their diffeomorphism types and find out which elements do not admit extremal Sasaki metrics. We also improve previous results given by Boyer (Note Mat 28:63–105, 2008) showing new examples of Sasaki–Einstein 2-connected 7-manifolds homeomorphic to connected sums of \(S^3\times S^4\) . Actually, we show that manifolds of the form \(\#k\left( S^{3} \times S^{4}\right) \) admit Sasaki–Einstein metrics for 22 different values of k. All these links arise as Thom–Sebastiani sums of chain type singularities and cycle type singularities where Orlik’s conjecture holds due to a recent result by Hertling and Mase (J Algebra Number Theory 16(4):955–1024, 2022).
      PubDate: 2023-11-16
      DOI: 10.1007/s10455-023-09930-z
       
  • Boundary properties for a Monge-Ampère equation of prescribed affine
           Gauss curvature

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      Abstract: Abstract Considering a Monge-Ampère equation with prescribed affine Gauss curvature, we first show the completeness of centroaffine metric on the convex domain and derive a gradient estimate of the convex solution and then give different orders of two eigenvalues of the Hessian with respect to the distance function. We also show that the curvature of level sets of the convex solution is uniformly bounded, and show that there exist a class of Euclidean-complete hyperbolic surfaces with prescribed affine Gauss curvature and with bounded affine principal curvatures.
      PubDate: 2023-11-16
      DOI: 10.1007/s10455-023-09933-w
       
  • Berglund–Hübsch transpose rule and Sasakian geometry

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      Abstract: Abstract We apply the Berglund–Hübsch transpose rule from BHK mirror symmetry to show that to an \(n-1\) -dimensional Calabi–Yau orbifold in weighted projective space defined by an invertible polynomial, we can associate four (possibly) distinct Sasaki manifolds of dimension \(2n+1\) which are \(n-1\) -connected and admit a metric of positive Ricci curvature. We apply this theorem to show that for a given K3 orbifold, there exist four seven-dimensional Sasakian manifolds of positive Ricci curvature, two of which are actually Sasaki–Einstein.
      PubDate: 2023-11-16
      DOI: 10.1007/s10455-023-09932-x
       
  • The metric structure of compact rank-one ECS manifolds

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      Abstract: Abstract Pseudo-Riemannian manifolds with nonzero parallel Weyl tensor which are not locally symmetric are known as ECS manifolds. Every ECS manifold carries a distinguished null parallel distribution \(\mathcal {D}\) , the rank \(d\in \{1,2\}\) of which is referred to as the rank of the manifold itself. Under a natural genericity assumption on the Weyl tensor, we fully describe the universal coverings of compact rank-one ECS manifolds. We then show that any generic compact rank-one ECS manifold must be translational, in the sense that the holonomy group of the natural flat connection induced on \(\mathcal {D}\) is either trivial or isomorphic to \({\mathbb {Z}}_2\) . We also prove that all four-dimensional rank-one ECS manifolds are noncompact, this time without having to assume genericity, as it is always the case in dimension four.
      PubDate: 2023-10-26
      DOI: 10.1007/s10455-023-09929-6
       
  • Harmonic flow of geometric structures

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      Abstract: We give a twistorial interpretation of geometric structures on a Riemannian manifold, as sections of homogeneous fibre bundles, following an original insight by Wood (Differ Geom Appl 19:193–210, 2003). The natural Dirichlet energy induces an abstract harmonicity condition, which gives rise to a geometric gradient flow. We establish a number of analytic properties for this flow, such as uniqueness, smoothness, short-time existence, and some sufficient conditions for long-time existence. This description potentially subsumes a large class of geometric PDE problems from different contexts. As applications, we recover and unify a number of results in the literature: for the isometric flow of \(\text {G}_2\) -structures, by Grigorian (Adv Math 308:142–207, 2017; Calculas Variat Partial Differ Equ 58:157, 2019), Bagaglini (J Geom Anal, 2009), and Dwivedi-Gianniotis-Karigiannis (J Geom Anal 31(2):1855-1933, 2021); and for harmonic almost complex structures, by He (Energy minimizing harmonic almost complex structures, 2019) and He-Li (Trans Am Math Soc 374(9):6179–6199, 2021). Our theory also establishes original properties regarding harmonic flows of parallelisms and almost contact structures.
      PubDate: 2023-10-17
      DOI: 10.1007/s10455-023-09928-7
       
  • On the index of a free-boundary minimal surface in Riemannian
           Schwarzschild-AdS

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      Abstract: Abstract We consider the index of a certain non-compact free-boundary minimal surface with boundary on the rotationally symmetric minimal sphere in the Schwarzschild-AdS geometry with \(m>0\) . As in the Schwarzschild case, we show that in dimensions \(n\ge 4\) , the surface is stable, whereas in dimension three, the stability depends on the value of the mass \(m>0\) and the cosmological constant \(\Lambda <0\) via the parameter \(\mu :=m\sqrt{-\Lambda /3}\) . We show that while for \(\mu \ge \tfrac{5}{27}\) the surface is stable, there exist positive numbers \(\mu _0\) and \(\mu _1\) , with \(\mu _1<\tfrac{5}{27}\) , such that for \(0<\mu <\mu _0\) , the surface is unstable, while for all \(\mu \ge \mu _1\) , the index is at most one.
      PubDate: 2023-10-04
      DOI: 10.1007/s10455-023-09925-w
       
  • Solution to the n-bubble problem on $$\mathbb {R}^1$$ with log-concave
           density

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      Abstract: Abstract We study the n-bubble problem on \(\mathbb {R}^1\) with a prescribed density function f that is even, radially increasing, and satisfies a log-concavity requirement. Under these conditions, we find that isoperimetric solutions can be identified for an arbitrary number of regions, and that these solutions have a well-understood and regular structure. This generalizes recent work done on the density function \( x ^p\) and stands in contrast to log-convex density functions which are known to have no such regular structure.
      PubDate: 2023-09-28
      DOI: 10.1007/s10455-023-09927-8
       
  • Compactness of harmonic maps of surfaces with regular nodes

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      Abstract: Abstract In this paper, we formulate and prove a general compactness theorem for harmonic maps of Riemann surfaces using Deligne–Mumford moduli space and families of curves. The main theorem shows that given a sequence of harmonic maps over a sequence of complex curves, there is a family of curves and a subsequence such that both the domains and the maps converge with the singular set consisting of only “non-regular” nodes. This provides a sufficient condition for a neck having zero energy and zero length. As a corollary, the following known fact can be proved: If all domains are diffeomorphic to \(S^2\) , both energy identity and zero distance bubbling hold.
      PubDate: 2023-09-25
      DOI: 10.1007/s10455-023-09926-9
       
 
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  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 (GENERAL) (45 journals)

Showing 1 - 35 of 35 Journals sorted alphabetically
Acta Universitatis Sapientiae, Mathematica     Open Access  
Algebra Letters     Open Access   (Followers: 1)
American Journal of Computational Mathematics     Open Access   (Followers: 4)
American Journal of Mathematics and Statistics     Open Access   (Followers: 9)
Annals of Global Analysis and Geometry     Hybrid Journal   (Followers: 2)
Archiv der Mathematik     Hybrid Journal  
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry     Partially Free   (Followers: 2)
Bulletin of the American Mathematical Society     Open Access   (Followers: 5)
Communications in Mathematics     Open Access  
Communications in Mathematics and Statistics     Hybrid Journal   (Followers: 3)
Conformal Geometry and Dynamics     Full-text available via subscription  
Difficoltà in Matematica     Full-text available via subscription  
Ergodic Theory and Dynamical Systems     Hybrid Journal   (Followers: 3)
International Journal of Applied Metaheuristic Computing     Full-text available via subscription   (Followers: 2)
International Journal of Computing Science and Mathematics     Hybrid Journal   (Followers: 1)
International Journal of Mathematics and Statistics     Full-text available via subscription   (Followers: 2)
Journal of Elliptic and Parabolic Equations     Hybrid Journal  
Journal of Mathematical Physics     Hybrid Journal   (Followers: 26)
Journal of Physics A : Mathematical and Theoretical     Hybrid Journal   (Followers: 23)
Journal of the American Mathematical Society AMS     Full-text available via subscription   (Followers: 6)
Jurnal Fourier     Open Access   (Followers: 1)
Mathematical Journal of Interdisciplinary Sciences     Open Access   (Followers: 1)
Mathematical Programming     Hybrid Journal   (Followers: 15)
Mathematics     Open Access   (Followers: 3)
Mathematics of Computation     Full-text available via subscription   (Followers: 6)
Mathematika     Full-text available via subscription  
Memoirs of the American Mathematical Society AMS     Full-text available via subscription   (Followers: 2)
Optimization: A Journal of Mathematical Programming and Operations Research     Hybrid Journal   (Followers: 6)
Pesquimat     Open Access  
Pro Mathematica     Open Access  
Proceedings of the American Mathematical Society AMS     Full-text available via subscription   (Followers: 4)
Representation Theory     Full-text available via subscription   (Followers: 1)
St. Petersburg Mathematical Journal     Full-text available via subscription   (Followers: 1)
Theoretical Mathematics & Applications     Open Access  
Transactions of the Moscow Mathematical Society     Full-text available via subscription   (Followers: 1)
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JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
 


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