An isoperimetric constant associated to horizons in \(S^3\) blown up at two points

DOI10.1016/j.geomphys.2011.04.001zbMath1238.53022arXiv0911.0061OpenAlexW2036351894MaRDI QIDQ719388

Mattias Dahl, Emmanuel Humbert

Publication date: 10 October 2011

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

Full work available at URL: https://arxiv.org/abs/0911.0061

zbMATH Keywords

mean curvature flowGreen's functionasymptotically flatisoperimetric quotientconformal invarianceblow upYamabe constantthree sphere

Mathematics Subject Classification ID

Cites Work

• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• On the proof of the positive mass conjecture in general relativity
• The inverse mean curvature flow and the Riemannian Penrose inequality
• A new proof of the positive energy theorem.
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\)
• The existence of horizons in an asymptotically flat 3-manifold
• A note on existence and non-existence of horizons in some asymptotically flat 3-manifolds
• Coordinate Invariance and Energy Expressions in General Relativity
• The mass of an asymptotically flat manifold
• The Yamabe problem
• Trapped surfaces due to concentration of gravitational radiation

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