Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds

被引：9
|
作者：
Chen, Huibin [1 ,2 ]
Chen, Zhiqi [1 ,2 ]
Wolf, Joseph A. [3 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
COMPTES RENDUS MATHEMATIQUE | 2018年 / 356卷 / 08期
关键词：
HOMOGENEOUS GEODESICS; EINSTEIN-METRICS; SPACES;
D O I：
10.1016/j.crma.2018.06.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate left-invariant geodesic orbit metrics on connected simple Lie groups, where the metrics are formed by the structures of flag manifolds. We prove that all these left-invariant geodesic orbit metrics on simple Lie groups are naturally reductive. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：846 / 851
页数：6
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