A Structure Theorem for Homogeneous Spaces

被引：0
|
作者：
G. D. Mostow
机构：
[1] Yale University,Department of Mathematics
来源：
Geometriae Dedicata | 2005年 / 114卷
关键词：
homogeneous space; Cartan subgroup; maximal toroid; fiber bundle; discrete subgroup; Euler number; 57S20;
D O I：
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学科分类号：
摘要：
A partial generalization of Sophus Lie’s triangular form for solvable Lie algebras is presented. As application one is led to an iterated fibration for arbitrary homogeneous spaces. In the case of compact homogeneous spaces, one concludes easily that the Euler number is ≥0.
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页码：87 / 102
页数：15
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