Trapezoidal discrete surfaces: geometry and integrability

DOI10.1016/S0393-0440(99)00010-8zbMath0941.53007MaRDI QIDQ1806035

Wolfgang K. Schief, B. G. Konopelchenko

Publication date: 20 December 1999

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

surface of revolutiondiscrete Schrödinger equationprincipal curvatureGauss equationDarboux transformtrapezoidal discrete surface

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Surfaces in Euclidean and related spaces (53A05)

Related Items (4)

A \(2\times 2\) Lax representation, associated family, and Bäcklund transformation for circular K-nets ⋮ The B-quadrilateral lattice, its transformations and the algebro-geometric construction ⋮ On Laplace–Darboux-type sequences of generalized Weingarten surfaces ⋮ A curvature theory for discrete surfaces based on mesh parallelity

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