On （α,β）-Metrics with Reversible Geodesics

摘要

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