Compact homogeneous manifolds of dimension at most 7 up to a finite covering

被引：2

作者：

Gorbatsevich, V. V. ^{[1
]}

机构：

[1] Russian State Technol Univ MATI, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2012年 / 76卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

homogeneous manifold; finite covering; natural fibration; SEMISIMPLE FUNDAMENTAL GROUP; SPACES;

D O I：

10.1070/IM2012v076n04ABEH002600

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a classification of all compact homogeneous manifolds of dimension at most 7 up to a finite covering. Earlier classifications of this kind up to dimension 6 are obtained by a unified method. The main focus of the paper is on the case of dimension 7.

引用

页码：669 / 680

页数：12

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