The Asymptotic Behavior of Properly Embedded Minimal Surfaces of Finite Topology

DOI10.2307/1990892zbMath0683.53005OpenAlexW4249420768MaRDI QIDQ4733011

William Hamilton III Meeks, David A. Hoffman

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/1990892

zbMATH Keywords

minimal surfaceendstotal curvatureAnnular End Theorem

Mathematics Subject Classification ID

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

Related Items (10)

Higher genus Riemann minimal surfaces ⋮ Maximal graphs and harmonic mappings ⋮ Uniqueness of the catenoid and the Delaunay surface via a one-parameter family of touching spheres ⋮ The structure of singly-periodic minimal surfaces ⋮ On uniqueness of Riemann’s examples ⋮ Some Picard theorems for minimal surfaces ⋮ A Costa-Hoffman-Meeks type surface in $\mathbb H^{2} \times\mathbb R $ ⋮ Complete properly embedded minimal surfaces in \(\mathbf R^3\) ⋮ A generalization of Rado's theorem for almost graphical boundaries ⋮ The geometry and conformal structure of properly embedded minimal surfaces of finite topology in \(\mathbb{R}^ 3\)

Cites Work

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• Example of a complete minimal immersion in IR3 of genus one and three-embedded ends
• An Infinite Dimensional Version of Sard's Theorem

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