Coarse classification of constant mean curvature cylinders

DOI10.1090/S0002-9947-07-04063-9zbMath1115.53006OpenAlexW1518676563MaRDI QIDQ3425942

Shimpei Kobayashi, Josef F. Dorfmeister

Publication date: 7 March 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04063-9

zbMATH Keywords

loop groupsconstant mean curvature surfaces

Mathematics Subject Classification ID

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

Related Items (7)

Constant mean curvature cylinders with irregular ends ⋮ Minimal cylinders in the three-dimensional Heisenberg group ⋮ Minimal Lagrangian surfaces in \(\mathbb{C}P^2\) via the loop group method. I: The contractible case ⋮ Real forms of complex surfaces of constant mean curvature ⋮ TOTALLY SYMMETRIC SURFACES OF CONSTANT MEAN CURVATURE IN HYPERBOLIC 3-SPACE ⋮ Willmore surfaces in spheres: the DPW approach via the conformal Gauss map ⋮ Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

Cites Work

• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• Complex surfaces of constant mean curvature fibered by minimal surfaces
• Special algebraic properties of Kähler algebras
• Weierstrass type representation of harmonic maps into symmetric spaces
• A simple way for determining the normalized potentials for harmonic maps
• On the meromorphic potential for a harmonic surface in a \(k\)-symmetric space
• Meromorphic potentials and smooth surfaces of constant mean curvature
• On constant mean curvature surfaces with periodic metric
• Construction of non-simply connected CMC surfaces via dressing.
• Dressing preserving the fundamental group
• New Constant Mean Curvature Surfaces
• Actions of Loop Groups on Harmonic Maps
• Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Coarse classification of constant mean curvature cylinders