Closed geodesics on positively curved Finsler spheres

2007/05/29 by Wei Wang, Wang, Wei · 1 citation
Mathematics · Physics and Astronomy · #53C22 #53C60 #58E10 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG #msc:53C22 #msc:53C60 #msc:58E10

paper · pdf · doi:10.48550/arxiv.0705.4190

41 pages. Revised version. To appear in Adv. Math

openalex publication_date 2007/05/29 · arxiv created 2008/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove that for every Finsler n-sphere (Sⁿ, F) for n≥ 3 with reversibility λ and flag curvature K satisfying (\fracλλ+1)²

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• Non-hyperbolic closed geodesics on positively curved Finsler spheres

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