On properly embedded minimal surfaces with three ends.

DOI10.1215/S0012-7094-01-10735-7zbMath1044.53006OpenAlexW2088542989MaRDI QIDQ1847829

Francisco Martín, Matthias Weber

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-01-10735-7

zbMATH Keywords

symmetryminimal surfacesends

Mathematics Subject Classification ID

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

Related Items (3)

A characterisation of the Hoffman-Wohlgemuth surfaces in terms of their symmetries ⋮ A family of genus one minimal surfaces with two catenoid ends and one Enneper end ⋮ Period quotient maps of meromorphic 1-forms and minimal surfaces on tori.

Cites Work

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• A rigidity theorem for properly embedded minimal surfaces in \(R^ 3\)
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• Embedded minimal surfaces with an infinite number of ends
• On the Horgan minimal non-surface
• Minimal surfaces of least total curvature and moduli spaces of plane polygonal arcs
• Complete properly embedded minimal surfaces in \(\mathbf R^3\)
• Complete minimal surfaces in \(\mathbb{R}^3\)
• Embedded minimal surfaces of finite topology

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