On conformal transformation of special curvature of Kropina metrics

Abstract

An important class of Finsler metric is named Kropina metrics which is defined by Riemannian metric α and 1-form β which have many applications in physic, magnetic field and dynamic systems. In this paper, conformal transformations of χ-curvature and H-curvature of Kropina metrics are studied and the conditions that preserve this quantities are investigated. Also it is shown that in the special cases the conformal transformations reduced to homothetic transformations. ./files/site1/files/62/14Abstract.pdf

Keywords

• conformal transformation
• finsler metric
• kropina metrics
• χ-curvature
• h-curvature.