Finsler conformal transformations and the curvature invariances

This article studies the global conformal transformations f on a Finsler space (M, F), which satisfy f * F = e c (x) F, where F: = F (x, y) is a Finsler metric on M and x M, y T x M \ 0. We obtain the relations between some important geometric quantities of F and their correspondences respectively, including Riemann curvatures, Ricci curvatures, Landsberg curvatures, mean Landsberg curvatures and S-curvatures. Then, we discuss the properties of those conformal transformations on (M