Compact quotients of Cahen-Wallach spaces
著者
書誌事項
Compact quotients of Cahen-Wallach spaces
(Memoirs of the American Mathematical Society, no. 1264)
American Mathematical Society, c2019
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注記
"November 2019, volume 262, number 1264 (first of 7 numbers)"
Includes bibliographical reference (p. 83-84)
内容説明・目次
内容説明
Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. The authors derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.
目次
Introduction
Cahen-Wallach spaces
Discrete subgroups of the isometry group
Proper and cocompact actions on Cahen-Wallach spaces
The real case
Good subspaces and the imaginary case
The general case
Properties of compact quotients and their fundamental groups
Bibliography.
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