Spherically symmetric Finsler metrics in Rⁿ

2010/06/19 by Linfeng Zhou, Zhou, Linfeng
Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1006.3889

openalex publication_date 2010/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give the general form of spherically symmetric Finsler metrics in Rⁿ and surprisedly find that many well-known Finsler metrics belong to this class. Then we explicitly express projective metrics of this type. The necessary and sufficient conditions that projective Finsler metrics with spherical symmetry have constant flag curvature are also obtained.

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