On BC-generalized Landsberg Finsler metrics

Document Type: Regular Paper


1 Bijar Branch, Islamic Azad University Bijar

2 Department of Mathematics, Faculty of Science, Shahed University of Tehran, Tehran, Iran


Equality of -curvatures of the Berwald and Cartan connections leads to a new class of Finsler metrics, so-called BC-generalized Landsberg metrics. Here, we prove that every BC-generalized Landsberg metric of scalar flag curvature with dimension greater than two is of constant flag curvature.