Multiple closed geodesics on positively curved Finsler manifolds

2018/03/21 by Wei Wang, Wang, Wei · 1 citation
Mathematics · Physics and Astronomy · #53C22 #53C60 #58E10 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Fixed Point Theorems Analysis #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1803.08350

openalex publication_date 2018/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove that on every Finsler manifold (M, F) with reversibility λ and flag curvature K satisfying (\fracλλ+1)²

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• Closed geodesics on positively curved spheres Sⁿ with Finsler metric induced by (ℝPⁿ,F)

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