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….
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