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

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Ha, Ku Yong¹  Lee, Jong Bum¹ 

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

关键词: 3-dimensional Lie group;    Automorphism group;    Isometry group;    Left invariant Riemannian metric;   

DOI  :  10.1016/j.geomphys.2011.10.011

来源: Elsevier

【 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.

【 授权许可】

Free