Conformal Vector fields on a locally projectively flat kropina metric

Abstract

In this paper, we study and characterize conformal vector fields on a Finsler manifold with the Kropina metric of projectively isotropic flag curvature. Further, we prove that any conformal vector field on a non-Riemannian locally projectively flat Kropina metric of dimension n ≥ 3 must be homothetic and completely determine conformal vector fields on a locally projectively flat Kropina metric.