The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting

DOI10.1007/s00220-021-04083-1zbMath1480.83043arXiv2003.07762OpenAlexW3157325166WikidataQ115608981 ScholiaQ115608981MaRDI QIDQ2046791

Anna Sakovich

Publication date: 19 August 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07762

zbMATH Keywords

positive mass theoremJang equationasymptotically hyperbolic initial data

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ A survey on extensions of Riemannian manifolds and Bartnik mass estimates ⋮ Hyperbolic mass via horospheres ⋮ Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity ⋮ Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass ⋮ Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ The positive energy theorem for asymptotically hyperboloidal initial data sets with toroidal infinity and related rigidity results

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