DISCRETE GROUP ACTIONS AND GENERALIZED REAL BOTT MANIFOLDS

被引：0

作者：

Yu, Li ^{[1
,2
,3
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Nanjing Univ, IMS, Nanjing 210093, Jiangsu, Peoples R China

[3] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

来源：

MATHEMATICAL RESEARCH LETTERS | 2011年 / 18卷 / 06期

关键词：

discrete group; generalized real Bott manifold; real toric manifold; binary matrix; small cover; CLASSIFICATION; RIGIDITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a class of discrete group actions on the Euclidean space. In particular, we will investigate when the orbit spaces of such group actions are closed manifolds. The answer turns out to be a class of real toric manifolds called generalized real Bott manifolds which are the total spaces of some kind of iterated real projective space bundles. This relation provides a new viewpoint on generalized real Bott manifolds which might be useful for the future study.

引用

页码：1289 / 1303

页数：15

共 12 条

[1]

Choi S., 2010, ARXIV10064658

[2]

Choi S, 2010, OSAKA J MATH, V47, P109

[3]

CONNER PE, 1979, LECT NOTES MATH, V738

[4] GROUPS GENERATED BY REFLECTIONS AND ASPHERICAL MANIFOLDS NOT COVERED BY EUCLIDEAN-SPACE [J].