The structure of weakly stable minimal hypersurfaces

DOI10.1590/S0001-37652006000200001zbMath1098.53055OpenAlexW2053170119WikidataQ83368983 ScholiaQ83368983MaRDI QIDQ5479658

Detang Zhou, Xu Cheng, Leung-Fu Cheung

Publication date: 11 July 2006

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/s0001-37652006000200001

zbMATH Keywords

endsweak stabilityminimal hypersurfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Stable complete noncompact hypersurfaces with constant mean curvature, Stability properties for the higher dimensional catenoid in $\mathbb R^{n+1}$, Stability of spacelike surfaces with constant mean curvature in Lorentzian manifolds, The structure of weakly stable constant mean curvature hypersurfaces, Bernstein type theorems for complete submanifolds in space forms

Cites Work

• Stability of complete noncompact surfaces with constant mean curvature
• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• Harmonic functions and the structure of complete manifolds
• The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• Minimal hypersurfaces with finite index
• On stable complete minimal hypersurfaces in R n +1
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes