Projective Vector Field on Finsler Spaces

The collection of all projective vector elds on a Finsler space (M; F) is a nite-dimensional Lie algebra with respect to the usual Lie bracket, called projective algebra and is denoted by p(M; F). It is the Lie algebra of the projective group P(M; F). After a short review of the de nitions of Ran- ders metric and projective vector eld. we show that for Randers space with isotropic S-curvature and is not close, every a ne vector eld is invariant a ne.