TY - JOUR
ID - 1369
TI - S-Curvature of left invariant Randers metrics on some simple Lie groups
JO - Journal of Finsler Geometry and its Applications
JA - JFGA
LA - en
SN -
AU - Abedi Karimi, Hossein
AD - Department of Mathematics,
Isfahan University of Technology, Isfahan, 84156-83111-Iran. hossein.abedikarimi@gmail.com
Y1 - 2021
PY - 2021
VL - 2
IS - 2
SP - 66
EP - 76
KW - S-curvature
KW - isotropic S-curvature
KW - Lie groups
KW - Randers space
DO - 10.22098/jfga.2021.1369
N2 - 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.
UR - https://jfga.uma.ac.ir/article_1369.html
L1 - https://jfga.uma.ac.ir/article_1369_5baec535882f158e3d98872493c5cacf.pdf
ER -