Isometries of Lorentz surfaces and convergence groups

Reference : Isometries of Lorentz surfaces and convergence groups


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/22550

Title :	Isometries of Lorentz surfaces and convergence groups
Language :	English
Author, co-author :	Monclair, Daniel [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Oct-2015
Journal title :	Mathematische Annalen
Publisher :	Springer
Volume :	363
Issue/season :	1
Pages :	101-141
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0025-5831
e-ISSN :	1432-1807
City :	Heidelberg
Country :	Germany
Abstract :	[en] We study the isometry group of a globally hyperbolic spatially compact Lorentz surface. Such a group acts on the circle, and we show that when the isometry group acts non properly, the subgroups of Diff(S^1) obtained are semi conjugate to subgroups of finite covers of PSL(2,R) by using convergence groups. Under an assumption on the conformal boundary, we show that we have a conjugacy in Homeo(S^1 )
Permalink :	http://hdl.handle.net/10993/22550

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