The S-curvature of Finsler warped product metrics
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
The class of warped product metrics can often be interpreted as key space models for general theory of relativity and in the theory of space-time structure. In this paper, we study one of the most important non -Riemannian quantities in Finsler geometry which is called the S -curvature. We examined the behavior of the S -curvature in the Finsler warped product metrics. We are going to prove that every Finsler warped product metric R x Rn has almost isotropic S -curvature if and only if it is a weakly Berwald metric. Moreover, we show that every Finsler warped product metric has isotropic S -curvature if and only if S -curvature vanishes. (c) 2023 Elsevier B.V. All rights reserved.
Description
Keywords
Finsler Warped Product Manifold, S-Curvature, Weakly Berwald Manifolds
Journal or Series
Differential Geometry and Its Applications
WoS Q Value
N/A
Scopus Q Value
Q2
Volume
93
