Weakly stable constant mean curvature hypersurfaces

DOI10.1007/s11766-009-1815-yzbMath1199.53126OpenAlexW1968100235MaRDI QIDQ846779

Hong-Wei Xu, Hai-Ping Fu

Publication date: 12 February 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-1815-y

zbMATH Keywords

constant mean curvatureendsweakly stable hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications

Cites Work

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• On constant mean curvature hypersurfaces with finite index
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes
• Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space
• A note on harmonic maps

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