Work

Hilbert manifold structure for asymptotically hyperbolic relativistic initial data

Year: 2016

Type: preprint

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 Poincar{é} and Korn type inequalities for AH manifolds with inner boundary and weakly regular metric.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1607.05616

Authors: Delay, Erwann, Fougeirol, Jérémie

Institutions: Laboratoire de Mécanique et d’Acoustique, Laboratoire de Mathématiques d'Avignon, Centre National de la Recherche Scientifique, Institut Montpelliérain Alexander Grothendieck, Université Montpellier 2

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2476060779

Cites: 13

Cited by: 2

Related to: 10