On conformal change of projective Ricci curvature of Kropina metrics

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. b.rezaei@urmia.ac.ir

2 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. s.jalili@urmia.ac.ir

3 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. l.ghasemnezhad@urmia.ac.ir

Abstract

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.

Keywords

Journal of Finsler Geometry and its Applications
Volume 2, Issue 2
December 2021
Pages 1-13

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