An unknotting result for complete minimal surfaces in \(\mathbb{R}^ 3\)

DOI10.1007/BF01232017zbMath0773.53003MaRDI QIDQ1204254

Michael Hartley Freedman

Publication date: 3 March 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144011

zbMATH Keywords

stabilityhandlebodyplane theorem

Mathematics Subject Classification ID

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

Related Items (1)

On non-compact Heegaard splittings

Cites Work

• Unnamed Item
• The strong halfspace theorem for minimal surfaces
• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• On complete minimal surfaces with finite Morse index in three manifolds
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• The topological uniqueness of complete minimal surfaces of finite topological type
• Heegaard-Zerlegungen der 3-Sphäre
• The unknottedness of minimal embeddings
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes
• The topological uniqueness of complete one-ended minimal surfaces and Heegaard surfaces in ℝ³

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