Authors:Prasenjit Ghosh, Tapas K. Samanta Pages: 183 - 199 Abstract: In this paper, we discuss various consequences of Hahn-Banach theorem for bounded b-linear functional in linear n-normed space and describe the notion of re exivity of linear n-normed space with respect to bounded b-linear functional. The concepts of strong convergence and weak convergence of a sequence of vectors with respect to bounded b-linear functionals in linear n-normed space have been introduced and some of their properties are being discussed. PubDate: 2024-05-03 DOI: 10.22190/FUMI201023013G
Authors:Sunil Kumar Yadav, Mohd. Danish Siddiqi, D. L. Suthar Pages: 201 - 221 Abstract: We classify almost Yamabe on nearly hyperbolic Sasakian manifolds whose potential vector field is torse-forming admitting semi-symmetric metric connection and quarter symmetric non-metric connection. Certain results of such solitons on CR-submanifolds of nearly hyperbolic Sasakian manifolds with respect to such connection are obtained. Finally, a non-trivial example is given to validate some of our results. PubDate: 2024-05-03 DOI: 10.22190/FUMI210128014Y
Authors:Bolikoppa Siddeshappa Anitha, Channabasappa Shanthappa Bagewadi Pages: 223 - 231 Abstract: The aim of this paper is to study the geometric properties of LP-Sasakian manifolds with respect to Levi-Civita connection when they are weakly symmetric, weakly Ricci symmetric and special weakly symmetric with respect to semi-symmetric semi-metric connection. An illustration of three dimensional LP-Sasakian manifold is given.
Authors:Zehra İşbilir, Kahraman Esen Özen, Murat Tosun Pages: 233 - 245 Abstract: In this study, we consider the concept of Mannheim partner trajectories related to the Positional Adapted Frame on Regular Surfaces (PAFORS) for the particles moving on the different regular surfaces in Euclidean 3-space. We give the relations between the PAFORS elements of these aforementioned trajectories. Also, we obtain the relations between Darboux basis vectors of these trajectories. Furthermore, some special cases of these trajectories are written. PubDate: 2024-05-03 DOI: 10.22190/FUMI221017016I
Authors:Ritu Sen Pages: 247 - 263 Abstract: For a Hausdorff non-compact space X, relationships between closure-type properties of the hyperspace (Λ; τ∆+) and covering properties of that of X have been studied. We then investigate selective separability and some variations of this property. Finally supertightness of (Λ; τ∆+) has been studied. PubDate: 2024-05-03 DOI: 10.22190/FUMI230329017S
Authors:Mariam Sheikh, Jafar Hasnain, Nomana Abid, Zaheer Abbas Pages: 265 - 278 Abstract: In this analysis, the MHD flow and nth-order dispersion of chemically reactive species over a slendering stretching sheet are studied numerically. The partial slip boundary condition and non-linear form of thermal radiation are also considered in this research. To get non-linear ordinary differential equations from the system of partial differential equations governing the flow, energy, and concentration, similarity transformations are applied. Using the shooting technique and the Runge-Kutta scheme, the resultant equations are integrated numerically. The numerical results in terms of temperature, velocity, and concentration are represented graphically. Results from this research indicate that an increase in the wall thickness parameter reduces momentum and heat transfer effects when a magnetic field is present.
Authors:Akbar Tayebi, Behzad Najafi Pages: 279 - 288 Abstract: We show that every Finsler surface with isotropic main scalar and isotropic flag curvature is Riemannian or relatively constant Landsberg metric. Using it, we prove that every homogeneous Finsler surface with isotropic flag curvature and isotropic main scalar is Riemannian or locally Minkowskian.
Authors:Seema Jangir, Gauree Shanker, Jaspreet Kaur, Laurian-Ioan Piscoran Pages: 289 - 302 Abstract: In this paper, we find a necessary and sufficient condition for a non-zero vector to be a geodesic vector in homogeneous generalized m-Kropina space. Further, we prove the existence of at least one homogeneous geodesic. However, it is conjectured that the outcomes and proofs in the case of Finsler geometry are not ideal, since general Finsler metrics are non-reversible. In Finsler geometry, the trajectory of unique homogeneous geodesic should be regarded as two geodesics with initial vectors X and -X. Hence, we construct an (n + 1)-dimensional and a 4-dimensional space to find homogeneous geodesics explicitly.
Authors:. Dipti, Anil Kumar Dubey, Urmila Mishra Pages: 303 - 316 Abstract: The purpose of this paper is to establish some fixed point results in the setting of metric-like space by defining an (α; β)-admissible z-contraction mapping imbedded in simulation function. Our results generalize and extend several well known results in the literature of fixed point theory. A suitable example is also established to verify the validity of the results obtained. PubDate: 2024-05-03 DOI: 10.22190/FUMI230628021D
Authors:Azadeh Jazayeri, Bahman Rezaei, Akbar Tayebi Pages: 317 - 326 Abstract: Every Berwald metric is a special generalized Berwald metric. In this paper, we study the class of projectively flat generalized Berwald (α; β)-metrics of isotropic S-curvature. We find some conditions under which this class of Finsler metrics reduces to the class of Berwald metrics.
Authors:Hannaneh Faraji, Behzad Najafi, Tayebeh Tabtabaeifar Pages: 327 - 342 Abstract: We introduce the ∗-conformal curvature tensor and ∗η-Einstien manifolds in contact manifolds. We investigate this tensor in the three main classes of contact manifolds: Sasakian manifolds, Kenmotsu manifolds, and cosymplectic manifolds. We prove that a manifold is η-Einstienian if and only if be ∗η-Einstienian manifold. PubDate: 2024-05-03 DOI: 10.22190/FUMI231216023F
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