%0 Journal Article
%T S-Curvature of left invariant Randers metrics on some simple Lie groups
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Abedi Karimi, Hossein
%D 2021
%\ 12/01/2021
%V 2
%N 2
%P 66-76
%! S-Curvature of left invariant Randers metrics on some simple Lie groups
%K S-curvature
%K isotropic S-curvature
%K Lie groups
%K Randers space
%R 10.22098/jfga.2021.1369
%X In this paper we study the Riemannian geometry of simple Lie groups SO(3,R), SL(2,R) and SO(1,3), equipped with a left invariant Riemannian metric. We consider left invariant Randers metrics induced by these left invariant Riemannian metrics. Then, in each case, we obtain the S-curvature and show that although these Randers metrics are not of Berwald or Douglas type but in the case of SO(3,R) it is of almost isotropic S-curvature. Finally, we give the S-curvature of left invariant Randers metrics on four-dimensional Einstein Lie groups.
%U https://jfga.uma.ac.ir/article_1369_5baec535882f158e3d98872493c5cacf.pdf