Ribaucour transformations for hypersurfaces in space forms

DOI10.1007/s10455-005-9010-8zbMath1101.53034OpenAlexW2085766791MaRDI QIDQ2502301

Qiaoling Wang, Keti Tenenblat

Publication date: 12 September 2006

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-005-9010-8

zbMATH Keywords

minimal surfacesconstant mean curvature surfacesspace formsRibaucour transformations

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (9)

Ribaucour transformations and their singularities ⋮ On Bäcklund and Ribaucour transformations for surfaces with constant negative curvature ⋮ Unnamed Item ⋮ Isothermic surfaces associated with the cylinder obtained by Ribaucour transformations ⋮ New minimal surfaces in the hyperbolic space ⋮ The Ribaucour families of discrete R-congruences ⋮ New constant mean curvature surfaces in the hyperbolic space ⋮ Ribaucour transformations for flat surfaces in the hyperbolic 3-space ⋮ Lawson correspondence and Ribaucour transformations

Cites Work

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• Constant mean curvature surfaces constructed by fusing Wente tori
• Complete minimal surfaces in \(S^ 3\)
• New Constant Mean Curvature Surfaces
• AN EXTENSION OF THE CLASSICAL RIBAUCOUR TRANSFORMATION
• Investigation and Application of the Dressing Action on Surfaces of Constant Mean Curvature

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