Simple factor dressings and Bianchi-Bäcklund transformations
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Publication:2008352
DOI10.1215/00192082-7988989zbMath1428.53017OpenAlexW2989749084MaRDI QIDQ2008352
Publication date: 25 November 2019
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ijm/1574154086
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Cites Work
- All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
- Bianchi-Bäcklund transforms and dressing actions, revisited
- Harmonic maps into Lie groups (classical solutions of the chiral model)
- Weierstrass type representation of harmonic maps into symmetric spaces
- Remarks on the Darboux transform of isothermic surfaces
- Construction of non-simply connected CMC surfaces via dressing.
- Dressing CMC \(n\)-noids
- Dressing orbits of harmonic maps
- Darboux transforms and simple factor dressing of constant mean curvature surfaces
- Dressing preserving the fundamental group
- Constant mean curvature surfaces and integrable equations
- Bäcklund transformations and loop group actions
- CHARACTERIZATIONS OF BIANCHI–BÄCKLUND TRANSFORMATIONS OF CONSTANT MEAN CURVATURE SURFACES
- Investigation and Application of the Dressing Action on Surfaces of Constant Mean Curvature
- Asymptotics of ends of constant mean curvature surfaces with bubbletons
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