T-FLATNESS AND BOCHNER FLATNESS OF THE TANGENT BUNDLES OF LIE GROUPS

被引：0
|
作者：
Altunbas, Murat [1 ]
机构：
[1] Erzincan Binali Yildirim Univ, Fac Arts & Sci, TR-24100 Erzincan, Turkey
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2022年 / 48卷 / 02期
关键词：
  tangent Lie group; T-tensor; Bochner tensor;
D O I：
10.9741/proc.5487
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (G, g) be a bi-invariant Lie group and (TG, g & SIM;) be its tangent bundle. In this paper, we compute the T & SIM;-curvature tensor and a Bochner tensor B & SIM; on (TG, g & SIM;) and show that their flatnesses are related with flatness of the base manifold (G, g).
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页码：206 / 213
页数：8
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