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1 LMA - EA2151 Laboratoire de Mathématiques d-Avignon 2 IMAG - Institut Montpelliérain Alexander Grothendieck

Abstract : 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.

Keywords : Hilbert manifold asymptotically hyperbolic elliptic operators general relativity constraint equations weak regularity





Author: Erwann Delay - Jérémie Fougeirol -

Source: https://hal.archives-ouvertes.fr/



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