Geometric discretization of the Koenigs nets
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Publication:4833006
DOI10.1063/1.1563041zbMath1062.53008arXivnlin/0203011OpenAlexW2017646353WikidataQ104434207 ScholiaQ104434207MaRDI QIDQ4833006
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0203011
Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Projective differential geometry (53A20)
Related Items (4)
Planar discrete isothermic nets of conical type ⋮ Channel linear Weingarten surfaces in space forms ⋮ Isothermic surfaces in sphere geometries as Moutard nets ⋮ Geometric discretization of the Bianchi system
Cites Work
- Geometric deformations of the evolution equations and Bäcklund transformations
- \(\bar \partial\)-reductions of the multidimensional quadrilateral lattice. The multidimensional circular lattice
- Quadratic reductions of quadrilateral lattices
- The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice
- On a discretization of asymptotic nets
- Darboux transformations for multidimensional quadrilateral lattices. I
- Multidimensional quadrilateral lattices are integrable.
- Geometric discretisation of the Toda system.
- Transformations of quadrilateral lattices
- Asymptotic lattices and their integrable reductions: I. The Bianchi-Ernst and the Fubini-Ragazzi lattices
- Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
- On the Nutku—Halil solution for colliding impulsive gravitational waves
- Charged free fermions, vertex operators and the classical theory of conjugate nets
- Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality
- Isothermic Surfaces in Spaces of Arbitrary Dimension: Integrability, Discretization, and Bäcklund Transformations—A Discrete Calapso Equation
- Discrete asymptotic nets and \(W\)-congruences in Plücker line geometry
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