On the Singular Structure of Three-Dimensional, Area-Minimizing Surfaces

DOI10.2307/1999422zbMath0529.49022OpenAlexW4245769180MaRDI QIDQ3311205

Frank Morgan

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999422

zbMATH Keywords

area-minimizing surfacessingular structure

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Related Items

The unit mass ball of three-vectors in \(\mathbb{R}^6\), The exterior algebra \(\Lambda ^ kR^ n\) and area minimization

Cites Work

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• Submanifolds and special structures on the octonians
• On the singular structure of two-dimensional area minimizing surfaces in \({\mathbb{R}}^ n\)
• The structure of singularities in solutions to ellipsoidal variational problems with constraints in \(R^3\)
• Student reminiscences of Kodaira at Stanford