Examples of Unoriented Area-Minimizing Surfaces

DOI10.2307/1999999zbMath0509.53007OpenAlexW4230364443MaRDI QIDQ4747160

Frank Morgan

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999999

zbMATH Keywords

minimal surfacesingularityunoriented surfacesarea-minimizing flat chains modulo two

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Size-minimizing rectifiable currents, The angle criterion, Min-max theory for free boundary minimal hypersurfaces. II: General Morse index bounds and applications, Sliding stability and uniqueness for the set \((Y \times Y\), The end behavior of complete 2-dimensional area-minimizing mod 2 surfaces in \(\mathbb{R}{}^ n\), Uniqueness property for \(2\)-dimensional minimal cones in \(\mathbb{R}^3\), Calibrations and the size of Grassmann faces, Boundary rigidity and filling volume minimality of metrics close to a flat one, Calibrations modulo \(\nu\), The classification of complete orientable 2-dimensional area-minimizing \(\mod 2\) surfaces in \(\mathbb{R}^n\), The exterior algebra \(\Lambda ^ kR^ n\) and area minimization

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