Construction of non-simply connected CMC surfaces via dressing.

DOI10.2969/jmsj/1191419120zbMath1035.53015OpenAlexW2018293449MaRDI QIDQ1396418

Guido Haak, Josef F. Dorfmeister

Publication date: 30 June 2003

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

Full work available at URL: https://doi.org/10.2969/jmsj/1191419120

zbMATH Keywords

completenesscylindersurface of constant mean curvatureCMC surfaceumbilicdressing

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Harmonic maps, etc. (58E20)

Related Items (15)

On the associated family of Delaunay surfaces ⋮ Holomorphic representation of constant mean curvature surfaces in Minkowski space: consequences of non-compactness in loop group methods ⋮ Constant mean curvature cylinders with irregular ends ⋮ On symmetric Willmore surfaces in spheres. I: The orientation preserving case. ⋮ New Constant Mean Curvature Surfaces ⋮ Construction of constant mean curvature \(n\)-noids from holomorphic potentials ⋮ Unnamed Item ⋮ Simple factor dressings and Bianchi-Bäcklund transformations ⋮ TOTALLY SYMMETRIC SURFACES OF CONSTANT MEAN CURVATURE IN HYPERBOLIC 3-SPACE ⋮ Unitarization of Loop Group Representations of Fundamental Groups ⋮ Constant mean curvature surfaces for the Bessel equation ⋮ Willmore surfaces in spheres: the DPW approach via the conformal Gauss map ⋮ Dressing preserving the fundamental group ⋮ Coarse classification of constant mean curvature cylinders ⋮ Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

This page was built for publication: Construction of non-simply connected CMC surfaces via dressing.