Minimal cones on hypercubes

DOI10.1007/BF02921309zbMath0738.49022MaRDI QIDQ1177613

Kenneth A. Brakke

Publication date: 26 June 1992

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

minimal surfacecalibrationsmaximal flowminimal area hypersurface

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20) Duality theory (optimization) (49N15) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items

Mean curvature motion of point cloud varifolds, Volume-minimizing cycles in Grassmann manifolds, Soap films and covering spaces, On the Almgren minimality of the product of a paired calibrated set and a calibrated manifold of codimension 1, On the Almgren minimality of the product of a paired calibrated set with a calibrated set of codimension 1 with singularities, and new Almgren minimal cones, Numerical Solution of Soap Film Dual Problems, Uniqueness property for \(2\)-dimensional minimal cones in \(\mathbb{R}^3\), Domain walls and double bubbles, Surfaces Minimizing Area Plus Length of Singular Curves, Almgren and topological minimality for the set \(Y\times Y\), Limits of topological minimal sets with finitely generated coefficient groups, Regularity of area-minimizing surfaces in 3D polytopes and of invariant hypersurfaces in \(\mathbb R^n\)

Uses Software

• Surface Evolver

Cites Work

• The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
• Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
• Minimal surfaces, corners, and wires
• Minimal cones and the Bernstein problem
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