Compact quotients of Cahen-Wallach spaces
Differential Geometry
2015-01-08 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1501.01474,
title = {Compact quotients of Cahen-Wallach spaces},
author = {Ines Kath and Martin Olbrich},
journal= {arXiv preprint arXiv:1501.01474},
year = {2015}
}
Comments
81 pages