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 t...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.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11471246)the Jiangxi Provincial Science and Technology Project(Grant No.20161BAB211021)
文摘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.
