ON SPHERICALLY SYMMETRIC FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE-Reference-Cited by-同舟云学术

ON SPHERICALLY SYMMETRIC FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE

Published:2013-10-08 Issue:10 Volume:10 Page:1350054
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

GUO ENLI¹,LIU HUAIFU²,MO XIAOHUAN³

Affiliation:

1. College of Applied Mathematics, Beijing University of Technology, Beijing 100124, P. R. China

2. School of Mathematical Sciences, Nankai University, Tianjin 300071, P. R. China

3. Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

Abstract

A Finsler metric F is said to be spherically symmetric if the orthogonal group O(n) acts as isometries of F. In this paper, we show that every spherically symmetric Finsler metric of isotropic Berwald curvature is a Randers metric. We also construct explicitly a lot of new isotropic Berwald spherically symmetric Finsler metrics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887813500540

Reference21 articles.

1. Zermelo navigation on Riemannian manifolds

2. ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE

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