Hilbert manifold structure for asymptotically hyperbolic relativistic initial data

Autor:	Delay, Erwann, Fougeirol, Jérémie
Rok vydání:	2016
Předmět:	Mathematics - Differential Geometry General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	We provide a Hilbert manifold structure {\`a} la Bartnik for the space of asymptotically hyperbolic initial data for the vacuum constraint equations. The adaptation led us to prove new weighted Poincar{\'e} and Korn type inequalities for AH manifolds with inner boundary and weakly regular metric.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1607.05616 Zobrazit plný text záznamu View this record from Arxiv