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Hilbert manifold structure for asymptotically hyperbolic relativistic initial data

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.
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https://hal-univ-avignon.archives-ouvertes.fr/hal-01346853
Contributor : Jérémie Fougeirol <>
Submitted on : Tuesday, July 19, 2016 - 4:41:18 PM
Last modification on : Tuesday, January 14, 2020 - 10:38:15 AM

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Distributed under a Creative Commons Attribution - NoDerivatives 4.0 International License

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  • HAL Id : hal-01346853, version 1
  • ARXIV : 1607.05616

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Jérémie Fougeirol. Hilbert manifold structure for asymptotically hyperbolic relativistic initial data. 2016. ⟨hal-01346853v1⟩

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