STABLE MINIMAL HYPERSURFACES AND TANGENT CONE SINGULARITIES

DOI10.1142/S0129167X9900015XzbMath1039.53069OpenAlexW2087857240MaRDI QIDQ2728462

Helen Moore

Publication date: 1 August 2001

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x9900015x

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) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Cites Work

• Curvature estimates for minimal hypersurfaces
• Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
• The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• On the first variation of a varifold
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes
• Regularity of stable minimal hypersurfaces

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