On a discretization of asymptotic nets
type: Item
instance of: scholarly article
title: On a discretization of asymptotic nets
zbMATH Open document ID: 0997.35080
DOI: 10.1016/S0393-0440(01)00038-9
published in: Journal of Geometry and Physics
publication date: 2002-06-23T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 52C07
zbMATH DE Number: 1758070
zbMATH Keywords: discrete asymptotic nets
zbMATH Keywords: discrete geometry
zbMATH Keywords: transformations of asymptotic nets
author: Maciej Nieszporski
MaRDI profile type: Publication
cites work: On the characterization of Moutard transformations
cites work: Q4263402
cites work: Q4263406
cites work: Affine Spheres: Discretization via Duality Relations
cites work: Lattice and q-difference Darboux-Zakharov-Manakov systems via delta -dressing method
cites work: Geometric deformations of the evolution equations and Bäcklund transformations
cites work: The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices
cites work: Discrete asymptotic nets and \(W\)-congruences in Plücker line geometry
cites work: \(\bar \partial\)-reductions of the multidimensional quadrilateral lattice. The multidimensional circular lattice
cites work: Geometric discretization of the Bianchi system
cites work: Multidimensional quadrilateral lattices are integrable.
cites work: Q4263407
cites work: The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice
cites work: Transformations of quadrilateral lattices
cites work: Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry
cites work: Conformal invariant functionals of immersions of tori into \(\mathbb{R}^3\)
cites work: Projective generalizations of Lelieuvre's formula
cites work: Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality
cites work: Darboux transformations for multidimensional quadrilateral lattices. I
cites work: DIRAC OPERATOR ON A CONFORMAL SURFACE IMMERSED IN ℝ4: A WAY TO FURTHER GENERALIZED WEIERSTRASS EQUATION
cites work: The multicomponent Ernst equation and the Moutard transformation
cites work: Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
cites work: Q5597390
cites work: On hyperbolic surfaces: Moving triad and Loewner system connections
cites work: Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation.
cites work: Q4250119
cites work: Q4951384
cites work: Surfaces in \(\mathbb{R}^ 3\) with prescribed curvature
cites work: A note on modified Veselov-Novikov hierarchy
cites work: Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations
cites work: Reductions in systems integrable by the method of the inverse scattering problem
full work available at URL: s0393-0440(01)00038-9
OpenAlex ID: W1990526857
description: scientific article; zbMATH DE number 1758070