The Torus Lemma on Calibrations, Extended

DOI10.2307/2048164zbMath0669.49025OpenAlexW4249361724WikidataQ125015497 ScholiaQ125015497MaRDI QIDQ3822751

Frank Morgan

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048164

zbMATH Keywords

torusclosure operationm-planestorus face

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• The faces of the Grassmannian of 3-planes in \({\mathbb{R}}^ 7\) (calibrated geometries on \({\mathbb{R}}^ 7)\)
• Calibrated geometries
• The exterior algebra \(\Lambda ^ kR^ n\) and area minimization
• Spinors, calibrations and Grassmannians.
• On the Singular Structure of Three-Dimensional, Area-Minimizing Surfaces
• Calibrations on R 8
• Area-Minimizing Surfaces, Faces of Grassmannians, and Calibrations
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