The number of geometrically distinct reversible closed geodesics on a Finsler sphere with K≡ 1

2018/01/26 by Ming Xu, Xu, Ming
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1801.08868

openalex publication_date 2018/01/26 · openalex created_date 2018/02/02 · openalex updated_date 2026/07/28

Abstract

In this paper we study the Finsler sphere (Sⁿ,F) with n>1, which has constant flag curvature K≡ 1 and only finite prime closed geodesics. In this case, the connected isometry group I₀(Sⁿ,F) must be a torus which dimension satisfies 0

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