On a discretization of asymptotic nets
From MaRDI portal
Publication:1602418
DOI10.1016/S0393-0440(01)00038-9zbMath0997.35080OpenAlexW1990526857MaRDI QIDQ1602418
Publication date: 23 June 2002
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0393-0440(01)00038-9
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (5)
Geometric discretization of the Koenigs nets ⋮ Discrete Laplace cycles of period four ⋮ Discretization of asymptotic line parametrizations using hyperboloid surface patches ⋮ Discrete asymptotic nets and \(W\)-congruences in Plücker line geometry ⋮ The multicomponent Ernst equation and the Moutard transformation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric discretization of the Bianchi system
- The multicomponent Ernst equation and the Moutard transformation
- Geometric deformations of the evolution equations and Bäcklund transformations
- \(\bar \partial\)-reductions of the multidimensional quadrilateral lattice. The multidimensional circular lattice
- Conformal invariant functionals of immersions of tori into \(\mathbb{R}^3\)
- The symmetric, \(d\)-invariant and Egorov reductions of the quadrilateral lattice
- Reductions in systems integrable by the method of the inverse scattering problem
- Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry
- On hyperbolic surfaces: Moving triad and Loewner system connections
- Surfaces in \(\mathbb{R}^ 3\) with prescribed curvature
- The integrable discrete analogues of orthogonal coordinate systems are multi-dimensional circular lattices
- Self-dual Einstein spaces via a permutability theorem for the Tzitzeica equation.
- Darboux transformations for multidimensional quadrilateral lattices. I
- Multidimensional quadrilateral lattices are integrable.
- Projective generalizations of Lelieuvre's formula
- Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations
- Transformations of quadrilateral lattices
- Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
- Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality
- DIRAC OPERATOR ON A CONFORMAL SURFACE IMMERSED IN ℝ4: A WAY TO FURTHER GENERALIZED WEIERSTRASS EQUATION
- On the characterization of Moutard transformations
- Lattice and q-difference Darboux-Zakharov-Manakov systems via delta -dressing method
- Affine Spheres: Discretization via Duality Relations
- A note on modified Veselov-Novikov hierarchy
- Discrete asymptotic nets and \(W\)-congruences in Plücker line geometry
This page was built for publication: On a discretization of asymptotic nets