Remarks on the Darboux transform of isothermic surfaces
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Publication:1383287
zbMath0892.53003MaRDI QIDQ1383287
Udo Hertrich-Jeromin, Franz J. Pedit
Publication date: 14 April 1998
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/230165
constant mean curvatureRiccati equationDarboux transformationBäcklund transformationChristoffel transformationisothermic surface
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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On Bäcklund and Ribaucour transformations for surfaces with constant negative curvature ⋮ Generalised Bianchi permutability for isothermic surfaces ⋮ Unnamed Item ⋮ Infinitesimal Darboux transformation and semi-discrete MKDV equation ⋮ The \(\mu\)-Darboux transformation of minimal surfaces ⋮ Darboux transforms and simple factor dressing of constant mean curvature surfaces ⋮ Periodic discrete Darboux transforms ⋮ Isothermic surfaces associated with the cylinder obtained by Ribaucour transformations ⋮ Darboux transforms and spectral curves of constant mean curvature surfaces revisited ⋮ Semi-discrete isothermic surfaces ⋮ Polynomial conserved quantities of Lie applicable surfaces ⋮ Bonnet pairs and isothermic surfaces ⋮ Minimal Darboux transformations ⋮ Bubbletons are not embedded ⋮ Isothermic submanifolds ⋮ Simple factor dressings and Bianchi-Bäcklund transformations ⋮ Bianchi-Bäcklund transforms and dressing actions, revisited ⋮ A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras ⋮ The surfaces capable of division into infinitesimal squares by their curves of curvature: a nonstandard-analysis approach to classical differential geometry. ⋮ Adjoint transform of Willmore surfaces in \(\mathbb {S}^n\) ⋮ Spectral deformation and Bäcklund transformation of constrained Willmore surfaces ⋮ Darboux transformations on timelike constant mean curvature surfaces ⋮ Lawson correspondence and Ribaucour transformations
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