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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Contributor : Jérémie Fougeirol <>
Submitted on : Tuesday, December 13, 2016 - 4:47:56 PM
Last modification on : Tuesday, May 28, 2019 - 1:54:03 PM

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  • HAL Id : hal-01346853, version 2
  • ARXIV : 1607.05616

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Erwann Delay, Jérémie Fougeirol. Hilbert manifold structure for asymptotically hyperbolic relativistic initial data. 2016. ⟨hal-01346853v2⟩

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