Calibrations modulo \(\nu\)

DOI10.1016/0001-8708(87)90003-XzbMath0618.49019OpenAlexW2062006256MaRDI QIDQ1822349

Frank Morgan

Publication date: 1987

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(87)90003-x

zbMATH Keywords

Kähler formcalibrationsarea-minimizing surfacesdouble forms

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integral geometry (53C65) Differential forms in global analysis (58A10)

Related Items

Area-minimizing cones over Grassmannian manifolds ⋮ Complete minimal spheres and projective planes in \(R^ n\) with simple ends ⋮ The angle criterion ⋮ Area-minimizing cones over products of Grassmannian manifolds ⋮ The classification of complete orientable 2-dimensional area-minimizing \(\mod 2\) surfaces in \(\mathbb{R}^n\)

Cites Work

• The faces of the Grassmannian of 3-planes in \({\mathbb{R}}^ 7\) (calibrated geometries on \({\mathbb{R}}^ 7)\)
• Calibrations on \(R^ 6\)
• On the singular structure of two-dimensional area minimizing surfaces in \({\mathbb{R}}^ n\)
• Calibrated geometries
• The exterior algebra \(\Lambda ^ kR^ n\) and area minimization
• Curves length-minimizing modulo \(\nu\) in \(R^ n\)
• Some extremal questions for simplicial complexes. III: Problems of the geometry and analysis of the higher Euclidean spaces. V: The relative area of a Klein bottle
• On the Singular Structure of Three-Dimensional, Area-Minimizing Surfaces
• The Least Area Bounded by Multiples of a Curve
• On finiteness of the number of stable minimal hypersurfaces with a fixed boundary
• A Regularity Theorem for Minimizing Hypersurfaces Modulo &#957
• Invariance of Solutions to Invariant Parametric Variational Problem
• Harnack-type mass bounds and bernstein theorems for area-minimizing flat chains modulo v.
• Examples of Unoriented Area-Minimizing Surfaces
• The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Calibrations modulo \(\nu\)