2013/02/14 by Guojun Yang, Yang, Guojun
Physics and Astronomy · #53A20 #53B40 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1302.3303
openalex publication_date 2013/02/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Singular Finsler metrics, such as Kropina metrics and m-Kropina metrics, have a lot of applications in the real world. In this paper, we classify a class of singular (α,β)-metrics which are locally projectively flat with constant flag curvature in dimension n= 2 and n ≥ 3 respectively. Further, we determine the local structure of m-Kropina metrics and particularly Kropina metrics which are projectively flat with constant flag curvature and prove that such metrics must be locally Minkowskian but are not necessarily flat-parallel.