Complete embedded minimal surfaces of finite total curvature

DOI10.1090/S0273-0979-1985-15318-2zbMath0566.53017OpenAlexW2949812265MaRDI QIDQ5902757

William Hamilton III Meeks, David A. Hoffman

Publication date: 1985

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1985-15318-2

zbMATH Keywords

finite topological typeembedded minimal surfaceWeierstraß P-function

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (10)

Properly embedded and immersed minimal surfaces in the Heisenberg group ⋮ Embedded minimal surfaces derived from Scherk's examples ⋮ A Family of Singly Periodic Minimal Surfaces Invariant under a Screw Motion ⋮ Properties of properly embedded minimal surfaces of finite topology ⋮ Conformal geometry and complete minimal surfaces ⋮ Index, vision number and stability of complete minimal surfaces ⋮ Limits of minimal surfaces and Scherk's fifth surface ⋮ The topology and geometry of embedded surfaces of constant mean curvature ⋮ The computer-aided discovery of new embedded minimal surfaces ⋮ Meromorphic Functions on a Compact Riemann Surface and Associated Complete Minimal Surfaces

Cites Work

• The topology of complete minimal surfaces of finite total Gaussian curvature
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• The geometry of the generalized Gauss map

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