On general $(\alpha,\beta)$-metrics with Cartan torsion, mean Cartan torsion and Landsberg curvature

Abstract

In this paper, we derive a formula for the (mean) Cartan torsion of a class of general $(\alpha,\beta)$-metrics. Also, we study weak Landsberg general $(\alpha,\beta)$-metrics under a certain condition.

Keywords

• finsler space
• cartan torsion
• landsberg curvature
• mean cartan torsion
• weak landsberg curvature