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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