Compact Quotients of Cahen-Wallach Spaces

Ines Kath, Martin Olbrich (Autoren)

Buch | Softcover

84 Seiten

2020
American Mathematical Society (Verlag)
978-1-4704-4103-6 (ISBN)

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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.

Ines Kath, Universitat Greifswald, Germany. Martin Olbrich, Universite du Luxembourg.

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.

Erscheinungsdatum	31.12.2019
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	333 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-4103-9 / 1470441039
ISBN-13	978-1-4704-4103-6 / 9781470441036
Zustand	Neuware