On false branch points of incompressible branched immersions

DOI10.1007/BF01168372zbMath0701.53009MaRDI QIDQ914160

Robert Gulliver, Friedrich Tomi

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155382

zbMATH Keywords

incompressibilityregularity resultarea minimizingBranched minimal immersions

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Embedded minimal annuli solving an exterior problem ⋮ Entropy, minimal surfaces and negatively curved manifolds ⋮ Plateau's problem for minimal surfaces with a catenoidal end ⋮ On the nonexistence of boundary branch points for minimal surfaces spanning smooth contours. II

Cites Work

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• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• Branched immersions between 2-manifolds of higher topological type
• Finiteness of the ramified set for branched immersions of surfaces
• A proof of the regularity everywhere of the classical solution to Plateau's problem
• Regularity of minimizing surfaces of prescribed mean curvature
• Verzweigungspunkte von H-Flächen. I
• Branched immersions onto compact orientable surfaces
• Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.
• Existence theorems for minimal surfaces of nonzero genus spanning a contour
• A Theory of Branched Immersions of Surfaces