On cohomogeneity one flat Riemannian manifolds

被引：24

作者：

Mirzaie, R ^{[1
]}

Kashani, SMB ^{[1
]}

机构：

[1] Tarbiat Modarres Univ, Sch Sci, Tehran, Iran

来源：

GLASGOW MATHEMATICAL JOURNAL | 2002年 / 44卷

关键词：

D O I：

10.1017/S0017089502020189

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the topological properties of cohomogeneity one flat manifolds and their orbits. Among other results we prove that principal orbits of R-n are isometric to Rn-1 or S-k(c) x Rn-k-1. We show that if M has one singular orbit, it is a totally geodesic submanifold of M and if M is orientable then there is at most one singular orbit.

引用

页码：185 / 190

页数：6

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