The topology of complete one-ended minimal surfaces and Heegaard surfaces in 𝑅³

DOI10.1090/S0273-0979-1990-15947-6zbMath0717.53005MaRDI QIDQ5748530

William Hamilton III Meeks, Charles D. Frohman

Publication date: 1990

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

zbMATH Keywords

minimal surfacesHeegaard surfaces

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Cites Work

• Unnamed Item
• The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\)
• The strong halfspace theorem for minimal surfaces
• The structure of singly-periodic minimal surfaces
• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• The topological uniqueness of minimal surfaces in three dimensional euclidean space
• Least area incompressible surfaces in 3-manifolds
• The topological uniqueness of complete minimal surfaces of finite topological type
• Heegaard-Zerlegungen der 3-Sphäre
• On the fundamental group of a compact minimal submanifolds
• The unknottedness of minimal embeddings
• The ordering theorem for the ends of properly embedded minimal surfaces
• The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in ℝ³

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