Reference : Constant mean curvature foliation of domain of dependence in AdS3
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Constant mean curvature foliation of domain of dependence in AdS3
Tamburelli, Andrea mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Transactions of the American Mathematical Society
American Mathematical Society
Yes (verified by ORBilu)
[en] Anti-de Sitter geometry ; constant mean curvature surfaces ; quasi-conformal extensions
[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.
To appear in Transactions of AMS.

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