Maximal Surface in AdS convex GHM 3-manifold  with particles

Reference : Maximal Surface in AdS convex GHM 3-manifold with particles


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/18413

Title :	Maximal Surface in AdS convex GHM 3-manifold with particles
Language :	English
Author, co-author :	Toulisse, Jérémy [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	18-Dec-2013
Edition :	2
Number of pages :	34
Peer reviewed :	No
Keywords :	[en] 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.
Permalink :	http://hdl.handle.net/10993/18413
source URL :	http://arxiv.org/abs/1312.2724

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