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

The isometry groups of simply connected 3-dimensional unimodular Lie groups
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简连通 3 维幺模李群的等距群

DOI:
10.1016/j.geomphys.2011.10.011
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发表时间:
2012
影响因子:
1.5
通讯作者:
Jong Bum Lee
Jong Bum Lee
中科院分区:
数学3区
文献类型:
--
作者:
K. Ha;Jong Bum Lee

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对于每一个单连通的三维单模李群,在自同构以内的左不变黎曼度量被划分为Ha和Lee(2009)[2]。利用这种分类,我们在每个李群上确定了依赖于左不变黎曼度量的全等距群。
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.