Investigation and Application of the Dressing Action on Surfaces of Constant Mean Curvature

DOI10.1093/qmathj/50.1.57zbMath1001.53003arXivdg-ga/9709018OpenAlexW2594561493MaRDI QIDQ4949520

Guido Haak, Josef F. Dorfmeister

Publication date: 8 December 2002

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9709018

zbMATH Keywords

immersionsconstant mean curvatureisotropy groupdressing action

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (6)

Construction of constant mean curvature \(n\)-noids from holomorphic potentials ⋮ Bubbletons are not embedded ⋮ Simple factor dressings and Bianchi-Bäcklund transformations ⋮ New constant mean curvature surfaces in the hyperbolic space ⋮ Ribaucour transformations for hypersurfaces in space forms ⋮ Dressing preserving the fundamental group

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