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Maximal Surface in AdS convex GHM 3-manifold with particles
TOULISSE, Jérémy
2013
 

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Keywords :
AdS geometry; minimal maps; Teichmüller theory
Abstract :
[en] We prove the existence of a unique maximal surface in an anti-de Sitter (AdS) convex Globally Hyperbolic Maximal (GHM) manifold with particles (i.e. with conical singularities along timelike lines) for cone-angles less than $\pi$. We reinterpret this result in terms of Teichm\"uller theory, and prove the existence of a unique minimal Lagrangian diffeomorphism isotopic to the identity between two hyperbolic structures with conical singularities of the same angles on a closed surface with marked points.
Disciplines :
Mathematics
Author, co-author :
TOULISSE, Jérémy ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Maximal Surface in AdS convex GHM 3-manifold with particles
Publication date :
18 December 2013
Version :
2
Number of pages :
34
Available on ORBilu :
since 17 October 2014

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