On the capacity of surfaces in manifolds with nonnegative scalar curvature

DOI10.1007/s00222-007-0102-xzbMath1141.53059arXiv0707.3337OpenAlexW3102805010MaRDI QIDQ926265

Pengzi Miao, Hubert L. Bray

Publication date: 27 May 2008

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3337

zbMATH Keywords

energyharmonic functionWillmore functionalSchwarzschild 3-manifold

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43) Surfaces in Euclidean and related spaces (53A05)

Related Items (21)

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Cites Work

• On existence of static metric extensions in general relativity
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\)
• A remark on boundary effects in static vacuum initial data sets
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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