A discrete version of the Darboux transform for isothermic surfaces
From MaRDI portal
Publication:4263403
zbMath0941.53010arXivdg-ga/9611009MaRDI QIDQ4263403
Tim Hoffmann, Udo Hertrich-Jeromin, Ulrich Pinkall
Publication date: 11 May 2000
Full work available at URL: https://arxiv.org/abs/dg-ga/9611009
constant mean curvatureRiccati equationDarboux transformationChristoffel transformationdiscrete isothermic surfacediscrete net
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)
Related Items (13)
A \(2\times 2\) Lax representation, associated family, and Bäcklund transformation for circular K-nets ⋮ Isothermic triangulated surfaces ⋮ Construction of discrete constant mean curvature surfaces in Riemannian spaceforms and applications ⋮ The cross ratio and Clifford algebras ⋮ Isothermic surfaces in sphere geometries as Moutard nets ⋮ The Ribaucour families of discrete R-congruences ⋮ On discrete constant mean curvature surfaces ⋮ On a quaternionic analogue of the cross-ratio ⋮ Discrete special isothermic surfaces ⋮ The surfaces capable of division into infinitesimal squares by their curves of curvature: a nonstandard-analysis approach to classical differential geometry. ⋮ A curvature theory for discrete surfaces based on mesh parallelity ⋮ Semi-discrete constant mean curvature surfaces ⋮ Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality
This page was built for publication: A discrete version of the Darboux transform for isothermic surfaces