New Constant Mean Curvature Surfaces

DOI10.1080/10586458.2000.10504663zbMath1017.53009OpenAlexW2016921726MaRDI QIDQ2706540

Nicholas Schmitt, Martin Kilian, Ian McIntosh

Publication date: 19 March 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1045759525

zbMATH Keywords

CMC cylindersDPW constructionk-noids

Mathematics Subject Classification ID

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

Related Items (17)

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 ⋮ Construction of constant mean curvature \(n\)-noids using the DPW method ⋮ Construction of compact constant mean curvature hypersurfaces with topology ⋮ On Delaunay ends in the DPW method ⋮ Construction of constant mean curvature \(n\)-noids from holomorphic potentials ⋮ Bubbletons are not embedded ⋮ New constant mean curvature surfaces in the hyperbolic space ⋮ Ribaucour transformations for hypersurfaces in space forms ⋮ Mean-convex Alexandrov embedded constant mean curvature tori in the 3-sphere ⋮ Spherical Surfaces ⋮ Constant mean curvature surfaces for the Bessel equation ⋮ Opening nodes in the DPW method: co-planar case ⋮ Deformations of Symmetric CMC Surfaces in the 3-Sphere ⋮ Dressing preserving the fundamental group ⋮ Coarse classification of constant mean curvature cylinders

Cites Work

• New surfaces of constant mean curvature
• Constant mean curvature planes with inner rotational symmetry in Euclidean 3-space
• Construction of non-simply connected CMC surfaces via dressing.
• Dressing orbits of harmonic maps
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