Special projective algebra of exponential metrics of isotropic S-curvature

Document Type : Original Article


Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran


Exponential metrics are popular Finsler metrics. Let F be a exponential (α, β)-metric of isotropic S-curvature on manifold M. In this paper, We study a Lie sub-algebra of projective vector fields of a Finsler metric F is introduced denoted by SP(F). We classify SP(F) of isotropic S-curvature as a certain Lie sub-algebra of the Kiliing algebra k(M, α).