CONFORMAL CHANGES OF A RIZZA MANIFOLD WITH A GENERALIZED FINSLER STRUCTURE

Abstract

We are devoted to dealing with the conformal the- ory of a Rizza manifold with a generalized Finsler metric Gij(x;y) and a new conformal invariant non-linear connection M i j(x;y) con- structed 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 confor- mal invariant connection (Mj i k;M i j;Cj i k) and conformal invari- ant tensors. Next, the nearly Kaehlerian (G;M)-structures under conformal change in a Rizza manifold are investigated.