The structure of \({\varphi}\)-stable minimal hypersurfaces in manifolds of nonnegative \(P\)-scalar curvature

DOI10.1007/s00208-010-0482-xzbMath1206.53068OpenAlexW2015357052WikidataQ125620592 ScholiaQ125620592MaRDI QIDQ993353

Pak Tung Ho

Publication date: 10 September 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-010-0482-x

zbMATH Keywords

scalar curvaturestable minimal hypersurfaceRiemannian manifold with density

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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Cites Work

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• On the isoperimetric problem in Euclidean space with density
• Myer's theorem with density
• Topology of three-manifolds with positive 𝑃-scalar curvature
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes
• Stable minimal hypersurfaces in a nonnegatively curved manifold