On conformal change of projective Ricci curvature of Kropina metrics

In this paper‎, ‎we study and investigate the conformal change of projective Ricci curvature of Kropina metrics‎. ‎Let F and  F˜ be two conformally related Kropina metrics on a manifold M‎. ‎We prove that PRic˜=  PRic if and only if the conformal transformation is a homothety‎.

کلیدواژه ها:

‎Kropina metrics‎ ، ‎Projectively Ricci curvature‎ ، ‎Conformal transformation‎