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
