TOTALLY SYMMETRIC SURFACES OF CONSTANT MEAN CURVATURE IN HYPERBOLIC 3-SPACE

DOI10.1017/S0004972710000274zbMath1239.53077MaRDI QIDQ4931118

Shimpei Kobayashi

Publication date: 4 October 2010

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

zbMATH Keywords

constant mean curvaturehyperbolic 3-spacegeneralized Weierstrass representation

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 (2)

Minimal n -noids in hyperbolic and anti-de Sitter 3-space ⋮ Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

Cites Work

• Construction of non-simply connected CMC surfaces via dressing.
• Construction of constant mean curvature \(n\)-noids from holomorphic potentials
• Coarse classification of constant mean curvature cylinders
• Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms
• Unitarization of Loop Group Representations of Fundamental Groups
• Delaunay ends of constant mean curvature surfaces
• CONSTANT MEAN CURVATURE SURFACES OF ANY POSITIVE GENUS
• A FACTORIZATION PROBLEM IN NORMED RINGS, FUNCTIONS OF ISOMETRIC AND SYMMETRIC OPERATORS AND SINGULAR INTEGRAL EQUATIONS

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