Discrete special isothermic surfaces

DOI10.1007/s10711-014-0001-4zbMath1308.53020OpenAlexW2097368691MaRDI QIDQ2256247

Wayne Rossman, Udo Hertrich-Jeromin, Susana D. Santos, Francis E. Burstall

Publication date: 19 February 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/43746/1/final.pdf

zbMATH Keywords

constant mean curvatureDarboux transformationBäcklund transformationisothermic surfaceLawson correspondencepolynomial conserved quantity

Mathematics Subject Classification ID

Related Items (8)

Discrete Weierstrass-type representations ⋮ Discrete maximal surfaces with singularities in Minkowski space ⋮ Discrete Ω$\Omega$‐nets and Guichard nets via discrete Koenigs nets ⋮ Periodic discrete Darboux transforms ⋮ Semi-discrete isothermic surfaces ⋮ The Ribaucour families of discrete R-congruences ⋮ Semi-discrete constant mean curvature surfaces ⋮ S-Conical CMC Surfaces. Towards a Unified Theory of Discrete Surfaces with Constant Mean Curvature

Cites Work

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• Lie geometry of linear Weingarten surfaces
• Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality
• Non-special, non-canal isothermic tori with spherical lines of curvature
• Special isothermic surfaces of type d
• A discrete version of the Darboux transform for isothermic surfaces

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