On the singularities and a Bernstein property of immersed stable minimal hypersurfaces

DOI10.1007/s00526-004-0263-zzbMath1067.53049OpenAlexW2089549778MaRDI QIDQ1763130

Neshan Wickramasekera

Publication date: 21 February 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-004-0263-z

zbMATH Keywords

Euclidean spacevarifoldsBernstein type theoremstable minimal surfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces and optimization (49Q05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Curvature estimates for minimal hypersurfaces
• Minimal varieties in Riemannian manifolds
• On the first variation of a varifold
• A rigidity theorem for stable minimal hypercones
• Regularity of stable minimal hypersurfaces
• The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
• 𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two

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