INVARIANT METRICS ON LIE GROUPS

被引：1
|
作者：
Thompson, Gerard [1 ]
机构：
[1] Univ Toledo, Toledo, OH 43606 USA
来源：
JOURNAL OF GEOMETRIC MECHANICS | 2015年 / 7卷 / 04期
关键词：
Lie algebra; Lie group; invariant Riemannian metric; Killing vector field; ALGEBRAS;
D O I：
10.3934/jgm.2015.7.517
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Index formulas for the curvature tensors of an invariant metric on a Lie group are obtained. The results are applied to the problem of characterizing invariant metrics of zero and non-zero constant curvature. Killing vector fields for such metrics are constructed and play an important role in the case of flat metrics.
引用
收藏
页码：517 / 526
页数：10
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