On isoperimetric surfaces in general relativity. II.

DOI10.1016/j.geomphys.2009.07.010zbMath1177.53064OpenAlexW2039232887WikidataQ125310649 ScholiaQ125310649MaRDI QIDQ1034206

Haotian Wu, Justin Corvino, Farhan Abedin, Shelvean Kapita

Publication date: 11 November 2009

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2009.07.010

zbMATH Keywords

isoperimetric problemspace-like hypersurfaces

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions ⋮ Isoperimetric problems for spacelike domains in generalized Robertson-Walker spaces

Cites Work

• On isoperimetric surfaces in general relativity
• Volume comparison theorems for Lorentzian manifolds
• Constant mean curvature spacelike hypersurfaces with spherical boundary in the Lorentz-Minkowski space
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Some semi-Riemannian volume comparison theorems
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• An isoperimetric comparison theorem for Schwarzschild space and other manifolds
• A Brunn-Minkowski Type Theorem on the Minkowski Spacetime
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