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

页码：846 / 851

页数：6

共 16 条

[1] Compact simple Lie groups admitting left-invariant Einstein metrics that are not geodesic orbit
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COMPTES RENDUS MATHEMATIQUE, 2018, 356 (01) : 81 - 84
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[8] Einstein metrics on compact Lie groups which are not naturally reductive
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[10] Stein Manifolds and Multiplicity-Free Representations of Compact Lie Groups
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