Hilbert manifold structure for asymptotically hyperbolic relativistic initial data

Erwann Delay; Jérémie Fougeirol

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Hilbert manifold structure for asymptotically hyperbolic relativistic initial data

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Hilbert manifold structure for asymptotically hyperbolic relativistic initial data

Erwann Delay et Jérémie Fougeirol

Résumé

Hilbert manifold

asymptotically hyperbolic

elliptic operators

general relativity

constraint equations

weak regularity

We provide a Hilbert manifold structure à la Bartnik for the space of asymptotically hyperbolic initial data for the vacuum constraint equations. The adaptation led us to prove new weighted Poincaré and Korn type inequalities for AH manifolds with inner boundary and weakly regular metric.

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Titre: Hilbert manifold structure for asymptotically hyperbolic relativistic initial data
Créateurs - sans rôle: Erwann Delay - Laboratoire de Mathématiques
Jérémie Fougeirol - Laboratoire de Mathématiques
Identifiants: 99153545909311
Unité académique: Institut Montpelliérain Alexander Grothendieck - IMAG
Langue: English
Type de ressource: Working paper
Champs locaux: hal-01346853