On (α,β)-Metrics with Reversible Geodesics  

作　　者：Lihong LIU Guangzu CHEN 

机构地区：[1]School of Science,East China Jiao Tong University

出　　处：《Journal of Mathematical Research with Applications》2016年第5期568-574,共7页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11471246);the Jiangxi Provincial Science and Technology Project(Grant No.20161BAB211021)

摘　　要：In this paper, we get necessary and sufficient conditions for a Finsler space en- dowed with an （α,β）-metric where its geodesic coefficients G^i （x, y） and the reverse of geodesic coefficients G^i（x,-y） have the same Douglas curvature. They are the conditions such that （α,β）-metrics have reversible geodesics.In this paper, we get necessary and sufficient conditions for a Finsler space en- dowed with an （α,β）-metric where its geodesic coefficients G^i （x, y） and the reverse of geodesic coefficients G^i（x,-y） have the same Douglas curvature. They are the conditions such that （α,β）-metrics have reversible geodesics.

关 键 词：（α β）-metric geodesic coefficient reversible geodesic Douglas curvature 

分 类 号：O189.11[理学—数学]