On Conformal Transformation of Some Non-Riemannian Curvatures in Finsler Geometry

In this paper, we study the conformal transformation of some important and effective non-Riemannian curvatures in Finsler Geometry.   We find the necessary and sufficient condition under which the conformal transformation preserves the  Berwald curvature  B, mean Berwald curvature  E, Landsberg curvature  L, mean Landsberg curvature  J, and the non-Riemannian curvature  H.

Keywords:

Berwald curvature , mean Berwald curvature , Landsberg curvature , mean Landsberg curvature , the quantity H.