Singular Orbits in Cohomogeneity One Pseudo-Euclidean Space Rν4

被引：0

作者：

Ahmadi, P. ^{[1
]}

机构：

[1] Univ Zanjan, Dept Math, POB 45371-38791, Zanjan, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 01期

关键词：

Cohomogeneity one; Pseudo-Euclidean space; Lie group actions; Singular orbit;

D O I：

10.1007/s40840-014-0004-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to study cohomogeneity one pseudo-Euclidean space R-nu(4), 0 <= nu <= 4, under a proper action of a connected Lie subgroupG subset of I so(R-nu(4)). Among other results, when there is a singular orbit B, we determine the representation of the acting group G in SOo (nu, 4 - nu) x R-4 up to conjugacy, then the orbits up to isometry. In particular, we prove that B is an affine pseudo-Euclidean subspace with dimB >= min{nu, 4 - nu}.

引用

页码：73 / 90

页数：18

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