Invariant Solutions to the Oriented Plateau Problem of Maximal Codimension

DOI10.2307/1998374zbMath0459.49035OpenAlexW4243756268MaRDI QIDQ3909610

David Bindschadler

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998374

zbMATH Keywords

Plateau probleminvariant solutionintegral currentmass minimizing

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integral geometry (53C65) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Fiber bundles in algebraic topology (55R10)

Related Items (3)

Finite Groups and Invariant Solutions to One-Dimensional Plateau Problems ⋮ Stability of Minimal Orbits ⋮ Area-Minimizing Integral Currents with Boundaries Invariant Under Polar Actions

Cites Work

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• The structure of solutions to Plateau's problem in the n-sphere
• Normal and integral currents
• The Equivariant Plateau Problem and Interior Regularity
• Integral Geometry in Homogeneous Spaces
• A Characterization of Integral Currents

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