General spherically symmetric Finsler metrics with constant Ricci and flag curvature
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this paper, we investigate the flag curvature of a special class of Finsler metrics called general spherically symmetric Finsler metrics, which are defined by a Euclidean metric and two related 1-forms. We find equations to characterize the class of metrics with constant Ricci curvature (tensor) and constant flag curvature. Moreover, we study general spherically symmetric Finsler metrics with the vanishing non-Riemannian quantity chi-curvature. In particular, we construct some new projectively flat Finsler metrics of constant flag curvature. (C) 2021 Elsevier B.V. All rights reserved.
Description
Keywords
General Spherically Symmetric, Finsler Metrics, Ricci Curvature, X-Curvature
Journal or Series
Differential Geometry and Its Applications
WoS Q Value
Q4
Scopus Q Value
Q2
Volume
76
