The isometry groups of simply connected 3-dimensional unimodular Lie groups

被引：13
|
作者：
Ha, Ku Yong [1 ]
Lee, Jong Bum [1 ]
机构：
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2012年 / 62卷 / 02期
关键词：
3-dimensional Lie group; Automorphism group; Isometry group; Left invariant Riemannian metric; LEFT INVARIANT METRICS; CURVATURES;
D O I：
10.1016/j.geomphys.2011.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For each simply connected 3-dimensional unimodular Lie group the left invariant Riemannian metrics up to automorphism are classified in Ha and Lee (2009)[2]. Using this classification, we determine on each such a Lie group the full group of isometries which depends on left invariant Riemannian metrics. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：189 / 203
页数：15
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