The space of left-invariant metrics on a Lie group up to isometry and scaling

被引：30

作者：

Kodama, Hiroshi ^{[1
]}

Takahara, Atsushi ^{[1
]}

Tamaru, Hiroshi ^{[1
]}

机构：

[1] Hiroshima Univ, Dept Math, Higashihiroshima 7398526, Japan

来源：

MANUSCRIPTA MATHEMATICA | 2011年 / 135卷 / 1-2期

关键词：

CURVATURES; ALGEBRAS;

D O I：

10.1007/s00229-010-0419-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the spaces of left-invariant Riemannian metrics on a Lie group up to isometry, and up to isometry and scaling. In this paper, we see that such spaces can be identified with the orbit spaces of certain isometric actions on noncompact symmetric spaces. We also study some Lie groups whose spaces of left-invariant metrics up to isometry and scaling are small.

引用

页码：229 / 243

页数：15

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