Ribaucour transformations for constant mean curvature and linear Weingarten surfaces.

DOI10.2140/pjm.2003.212.265zbMath1059.53009OpenAlexW2074681446MaRDI QIDQ1880108

Keti Tenenblat, Armando M. V. Corro, Walterson Ferreira

Publication date: 17 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2003.212.265

zbMATH Keywords

Delaunay surfacesconstant mean curvature surfacesRibaucour transformationgenus zerogeoemtric indexlinear Weingarten surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05)

Related Items (15)

Ribaucour transformations and their singularities ⋮ On Bäcklund and Ribaucour transformations for surfaces with constant negative curvature ⋮ Unnamed Item ⋮ Quasiconformal Gauss maps and the Bernstein problem for Weingarten multigraphs ⋮ Isothermic surfaces associated with the cylinder obtained by Ribaucour transformations ⋮ Elliptic Weingarten surfaces: singularities, rotational examples and the halfspace theorem ⋮ Constrained elastic curves and surfaces with spherical curvature lines ⋮ New minimal surfaces in the hyperbolic space ⋮ Generalized Weingarten surfaces of harmonic type in hyperbolic 3-space ⋮ On the Gauss map of Weingarten hypersurfaces in hyperbolic spaces ⋮ New constant mean curvature surfaces in the hyperbolic space ⋮ Ribaucour transformations for flat surfaces in the hyperbolic 3-space ⋮ Ribaucour transformations for hypersurfaces in space forms ⋮ Rotational linear Weingarten surfaces of hyperbolic type ⋮ Lawson correspondence and Ribaucour transformations

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