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

页码：517 / 526

页数：10

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