Conformal changes of a Rizza manifold with a generalized Finsler structure

Abstract

We are devoted to dealing with the conformal theory of a Rizza manifold with a generalized Finsler metric $G_{ij}(x,y)$ and a new conformal invariant non-linear connection $M^i{}_j(x,y)$ constructed from the generalized Chern's non-linear connection $N^i{}_j(x,$ $y)$ and almost complex structure $f^i{}_j(x)$. First, we find a conformal invariant connection $(M_j{}^i{}_k, M^i{}_j,C_j{}^i{}_k)$ and conformal invariant tensors. Next, the nearly Kaehlerian $(G,M)$-structures under conformal change in a Rizza manifold are investigated.