Constant mean curvature foliation of domain of dependence in AdS3

Reference : Constant mean curvature foliation of domain of dependence in AdS3


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/28732

Title :	Constant mean curvature foliation of domain of dependence in AdS3
Language :	English
Author, co-author :	Tamburelli, Andrea [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2016
Journal title :	Transactions of the American Mathematical Society
Publisher :	American Mathematical Society
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0002-9947
e-ISSN :	1088-6850
Keywords :	[en] Anti-de Sitter geometry ; constant mean curvature surfaces ; quasi-conformal extensions
Abstract :	[en] We prove that, given an acausal curve in the boundary at infinity of Anti-de Sitter space which is the graph of a quasi-symmetric homeomorphism, there exists a foliation of its domain of dependence by constant mean curvature surfaces with bounded second fundamental form. Moreover, these surfaces provide a family of quasi-conformal extensions of the quasi-symmetric homeomorphism we started with.
Permalink :	http://hdl.handle.net/10993/28732
Commentary :	To appear in Transactions of AMS.

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