Uniqueness of area minimizing surfaces for extreme curves

DOI10.4171/RMI/810zbMath1308.53021arXiv1207.4695OpenAlexW2066620201MaRDI QIDQ2256068

Baris Coskunuzer, Tolga Etgü

Publication date: 19 February 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4695

zbMATH Keywords

uniquenessminimal surfacesPlateau problemarea minimizing surfacesmean convex 3-manifolds

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) General geometric structures on low-dimensional manifolds (57M50)

Cites Work

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• Surfaces minimizing area in their homology class and group actions on 3- manifolds
• The existence of embedded minimal surfaces and the problem of uniqueness
• The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn's lemma
• Almost every curve in \(R^3\) bounds a unique area minimizing surface
• Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals
• A new uniqueness theorem for minimal surfaces
• Normal and integral currents
• Examples of Area-Minimizing Surfaces in 3-manifolds
• The Existence of Least Area Surfaces in 3-Manifolds
• Generic uniqueness of area minimizing disks for extreme curves
• On boundary regularity for integral currents or flat chains modulo two minimizing the integral of an elliptic integrand

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