Article (Scientific journals)
Constant mean curvature foliation of domain of dependence in AdS3
Tamburelli, Andrea
2016In Transactions of the American Mathematical Society
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Keywords :
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.
Disciplines :
Mathematics
Author, co-author :
Tamburelli, Andrea ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Constant mean curvature foliation of domain of dependence in AdS3
Publication date :
2016
Journal title :
Transactions of the American Mathematical Society
ISSN :
1088-6850
Publisher :
American Mathematical Society
Peer reviewed :
Peer Reviewed verified by ORBi
Commentary :
To appear in Transactions of AMS.
Available on ORBilu :
since 30 October 2016

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