CS-Generalized Landsberg Metrics

By equalizing the Riemannian curvature of Chern and Shenconnections, we define a new class of Finsler metrics called CSgeneralizedLandsberg metrics which contains the class of Landsbergmetrics as a special case. We prove that on compact manifolds orcomplete manifolds with relatively isotropic Landsberg curvature, everyCS-generalized Landsberg metric reduces to a Landsberg metric. Thenwe prove that on Randers manifold, every CS-generalized Landsbergmetric is a Berwald metric

کلیدواژه ها:

Shen connection ، Landsberg metric ، Berwald metric