Maximal surfaces in anti-de Sitter 3-manifolds with particles

Jérémy Toulisse

Type: Article

Publication Date: 2016-01-01

Citations: 11

DOI: https://doi.org/10.5802/aif.3040

Abstract

On démontre l’existence d’une unique surface maximale dans les variétés anti-de Sitter (AdS) globalement hyperboliques maximales (GHM) à particules (c’est à dire, avec des singularités coniques le long de courbes de type temps) lorsque les angles sont inférieurs à π. On interprète ce résultat en termes de théorie de Teichmüller et nous démontrons l’existence d’un unique difféomorphisme minimal lagrangien isotope à l’identité entre deux surfaces hyperboliques à singularités coniques, lorsque les angles singuliers sont les mêmes pour les deux surfaces et sont inférieurs à π.

Locations

arXiv (Cornell University) - View - PDF
French digital mathematics library (Numdam) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
Annales de l’institut Fourier - View - PDF

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