ON LOCALLY HOMOGENEOUS COMPACT PSEUDO-RIEMANNIAN MANIFOLDS

被引：0

作者：

Bochenski, Maciej ^{[1
]}

Jastrzebski, Piotr ^{[1
]}

Tralle, Aleksy ^{[1
]}

机构：

[1] Univ Warmia & Mazury, Dept Math & Comp Sci, Sloneczna 54, PL-10710 Olsztyn, Poland

来源：

COLLOQUIUM MATHEMATICUM | 2017年 / 150卷 / 01期

关键词：

proper actions; homogeneous spaces; Lie groups; PROPER ACTIONS; SPACE-FORMS;

D O I：

10.4064/cm7139s-1-2017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are interested in the problem of the existence of compact Clifford-Klein forms of pseudo-Riemannian homogeneous spaces G/H of reductive type. We give a generalization of our previous result in [Proc. Amer. Math. Soc. (2017)] with a more conceptual and simpler proof. We show that there are no solvable compact Clifford-Klein forms of pseudo-Riemannian homogeneous spaces G/H with any unimodular subgroup H contained in the semisimple part of the Levi factor of some parabolic subgroup.

引用

页码：135 / 139

页数：5

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