A splitting of local rigidity of Clifford-Klein forms of homogeneous spaces of completely solvable Lie groups

被引：0

作者：

Tanimura, Yoshinori ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2021年 / 32卷 / 08期

关键词：

Deformation space; Clifford-Klein form; local rigidity; completely solvable; proper action; free action; DEFORMATION;

D O I：

10.1142/S0129167X21500580

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss local rigidity of Clifford-Klein forms of homogeneous spaces of 1-connected completely solvable Lie groups. We split the property of local rigidity into two conditions: vertical rigidity and horizontal rigidity. By this separation, we discuss local rigidity, in particular, Baklouti's conjecture.

引用

页数：14

共 31 条

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Bochenski, Maciej
Jastrzebski, Piotr
Tralle, Aleksy
MATHEMATICS OF COMPUTATION, 2020, 89 (323) : 1487 - 1499
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Tralle, Aleksy
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INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2000, 2000 (05) : 235 - 251

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