Area-Minimizing Integral Currents with Boundaries Invariant Under Polar Actions

DOI10.2307/2000772zbMath0653.49024OpenAlexW4241829764MaRDI QIDQ3799249

Julian C. Lander

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000772

zbMATH Keywords

polar actionsarea-minimizing integral currentparametric integrandssubgroup of SO(n)

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Compact Lie groups of differentiable transformations (57S15) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Differential geometry of symmetric spaces (53C35)

Related Items (2)

Hecke-Bochner identity and eigenfunctions associated to Gelfand pairs on the Heisenberg group ⋮ Area-Minimizing Integral Currents with Boundaries Invariant Under Polar Actions

Cites Work

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• Polar Coordinates Induced by Actions of Compact Lie Groups
• A General Theory of Canonical Forms
• Area-Minimizing Integral Currents with Boundaries Invariant Under Polar Actions
• Invariant Solutions to the Oriented Plateau Problem of Maximal Codimension
• Invariance of Solutions to Invariant Parametric Variational Problem
• The Equivariant Plateau Problem and Interior Regularity

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