%0 Journal Article
%T Projective vector fields on special (α,β)-metrics
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Masoumi, Saeedeh
%D 2020
%\ 12/01/2020
%V 1
%N 2
%P 83-93
%! Projective vector fields on special (α,β)-metrics
%K Projective vector field
%K Kropina metric
%K Matsumoto metric
%K S-curvature
%R 10.22098/jfga.2020.1242
%X In this paper, we study the projective vector fields on two special(α,β)-metrics, namely Kropina and Matsumoto metrics. First, we considerthe Kropina metrics, and show that if a Kropina metric F = α2/β admitsa projective vector field, then this is a conformal vector field with respect toRiemannian metric a or F has vanishing S-curvature. Then we study theMatsumoto metric F = α2/(α−β) and prove that if the Matsumoto metricF = α2/β admits a projective vector field, then this is a conformal vector fieldwith respect to Riemannian metric a or F has vanishing S-curvature.
%U https://jfga.uma.ac.ir/article_1242_acc3899280480efa9b03c9e4c2609266.pdf