Compact Quotients of Cahen-Wallach Spaces

被引：4

作者：

Kath, Ines

Olbrich, Martin

机构：

来源：

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 262卷 / 1264期

关键词：

D O I：

10.1090/memo/1264

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. We derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.

引用

页码：1 / +

页数：85

共 50 条

[21] QUOTIENTS OF DIFFERENTIABLE SPACES
JUNG, G
MATHEMATISCHE ZEITSCHRIFT, 1975, 145 (01) : 19 - 27
[22] QUOTIENTS OF PROXIMITY SPACES
FRIEDLER, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 37 (02) : 589 - 594
[23] Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients
Margulis, G
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1997, 125 (03): : 447 - 456
[24] QUOTIENTS OF UNIFORM SPACES
MARXEN, D
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A182 - A182
[25] Quotients of Bing spaces
Ball, Richard N.
Hagler, James N.
Ormes, Nicholas
TOPOLOGY AND ITS APPLICATIONS, 2008, 155 (16) : 1852 - 1866
[26] Gauge theory on Aloff-Wallach spaces
Ball, Gavin
Oliveira, Goncalo
GEOMETRY & TOPOLOGY, 2019, 23 (02) : 685 - 743
[27] QUOTIENTS OF LOCALLY COMPACT SEMIGROUPS
MADISON, BL
SEMIGROUP FORUM, 1981, 22 (03) : 277 - 281
[28] Invariant Einstein metrics on generalized Wallach spaces
Zhiqi Chen
Yurii Gennadievich Nikonorov
ScienceChina(Mathematics), 2019, 62 (03) : 569 - 584
[29] Invariant Einstein metrics on generalized Wallach spaces
Chen, Zhiqi
Nikonorov, Yurii Gennadievich
SCIENCE CHINA-MATHEMATICS, 2019, 62 (03) : 569 - 584
[30] Invariant Einstein metrics on generalized Wallach spaces
Zhiqi Chen
Yuriĭ Gennadievich Nikonorov
Science China Mathematics, 2019, 62 : 569 - 584

← 1 2 3 4 5 →