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Abedi Karimi, Hossein. (1400). S-Curvature of left invariant Randers metrics on some simple Lie groups. سامانه مدیریت نشریات علمی, 2(2), 66-76. doi: 10.22098/jfga.2021.1369
Hossein Abedi Karimi. "S-Curvature of left invariant Randers metrics on some simple Lie groups". سامانه مدیریت نشریات علمی, 2, 2, 1400, 66-76. doi: 10.22098/jfga.2021.1369
Abedi Karimi, Hossein. (1400). 'S-Curvature of left invariant Randers metrics on some simple Lie groups', سامانه مدیریت نشریات علمی, 2(2), pp. 66-76. doi: 10.22098/jfga.2021.1369
Abedi Karimi, Hossein. S-Curvature of left invariant Randers metrics on some simple Lie groups. سامانه مدیریت نشریات علمی, 1400; 2(2): 66-76. doi: 10.22098/jfga.2021.1369

S-Curvature of left invariant Randers metrics on some simple Lie groups

Journal of Finsler Geometry and its Applications
دوره 2، شماره 2، اسفند 2021، صفحه 66-76    اصل مقاله (82.66 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1369
نویسنده
Hossein Abedi Karimi
Department of Mathematics, Isfahan University of Technology, Isfahan, 84156-83111-Iran. hossein.abedikarimi@gmail.com
چکیده
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.
کلیدواژه‌ها
S-curvature؛ isotropic S-curvature؛ Lie groups؛ Randers space
مراجع
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