On Ribaucour transformations and applications to linear Weingarten surfaces

DOI10.1590/S0001-37652002000400001zbMath1079.53093WikidataQ121192787 ScholiaQ121192787MaRDI QIDQ4796865

Keti Tenenblat

Publication date: 2002

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

minimal surfacesconstant mean curvature surfacesRibaucour transformationslinear Weingarten surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Constrained elastic curves and surfaces with spherical curvature lines ⋮ The Ribaucour transformation in Lie sphere geometry ⋮ Channel surfaces in Lie sphere geometry

Cites Work

• The topology of complete minimal surfaces of finite total Gaussian curvature
• Embedded minimal surfaces with an infinite number of ends
• New surfaces of constant mean curvature
• Commuting Codazzi tensors and the Ribaucour transformation for submanifolds
• On the classification of constant mean curvature tori
• The submanifold geometries associated to Grassmannian systems
• AN EXTENSION OF THE CLASSICAL RIBAUCOUR TRANSFORMATION
• Constant mean curvature immersions of Enneper type
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