Search

Your search keyword '"Bahman Rezaei"' showing total 2 results
Start Over Author "Bahman Rezaei" Journal differential geometry and its applications
2 results on '"Bahman Rezaei"'

2. General spherically symmetric Finsler metrics with constant Ricci and flag curvature

Author

Bahman Rezaei, Mehran Gabrani, and Esra Sengelen Sevim

Subjects
Class (set theory), Pure mathematics, 010102 general mathematics, Curvature, Special class, 01 natural sciences, Euclidean distance, Computational Theory and Mathematics, 0103 physical sciences, Mathematics::Metric Geometry, Mathematics::Differential Geometry, 010307 mathematical physics, Geometry and Topology, Tensor, 0101 mathematics, Constant (mathematics), Analysis, Ricci curvature, Mathematics, Flag (geometry)
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 χ-curvature. In particular, we construct some new projectively flat Finsler metrics of constant flag curvature.

Published
2021

Catalog

Books, media, physical & digital resources
See catalog results