2003/02/11 by Xiaohuan Mo, Zhongmin Shen, Mo, Xiaohuan +1
Mathematics · Physics and Astronomy · #53C60 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #math.DG #math.MG #msc:53C60
paper · pdf · doi:10.48550/arxiv.math/0302124
10 pages
arxiv created 2003/02/11 · openalex publication_date 2003/02/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we prove a global rigidity theorem for negatively curved Finsler metrics on a compact manifold of dimension n>2. We show that for such a Finsler manifold, if the flag curvature is a scalar function on the tangent bundle, then the Finsler metric is of Randers type. We also study the case when the Finsler metric is locally projectively flat.