Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
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Publication:1965677
DOI10.1016/0375-9601(95)00504-VzbMath1020.53500arXivsolv-int/9502004MaRDI QIDQ1965677
Piotr Goldstein, Jan L. Cieśliński, Antoni Sym
Publication date: 8 February 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9502004
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Surfaces in Euclidean and related spaces (53A05)
Related Items (43)
THE BIANCHI–DARBOUX TRANSFORM OF L-ISOTHERMIC SURFACES ⋮ A simple construction of recursion operators for multidimensional dispersionless integrable systems ⋮ Modified Korteweg–de Vries surfaces ⋮ Generalised Bianchi permutability for isothermic surfaces ⋮ Simple factor dressing and the López-Ros deformation of minimal surfaces in Euclidean 3-space ⋮ Lax triples for integrable surfaces in three-dimensional space ⋮ Korteweg-de Vries surfaces ⋮ The Darboux-Bianchi transformation for isothermic surfaces. Classical results versus the soliton approach ⋮ Infinitesimal Darboux transformation and semi-discrete MKDV equation ⋮ Isothermic triangulated surfaces ⋮ The Lund–Regge surface and its motion’s evolution equation ⋮ Bonnet and isotropically isothermic surfaces in 4-dimensional space forms ⋮ On transforms of timelike isothermic surfaces in pseudo-Riemannian space forms ⋮ Some Special Integrable Surfaces ⋮ Reductions of Gauss-Codazzi Equations ⋮ Isothermic surfaces in sphere geometries as Moutard nets ⋮ Isothermic surfaces associated with the cylinder obtained by Ribaucour transformations ⋮ Generalized polar transforms of spacelike isothermic surfaces ⋮ On a stack of surfaces obtained from the $\boldsymbol {\mathbb{C}P^{N-1}}$ sigma models ⋮ Formal conserved quantities for isothermic surfaces ⋮ A generalized formula for integrable classes of surfaces in Lie algebras ⋮ Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces ⋮ The spectral interpretation of \(n\)-spaces of constant negative curvature immersed in \({\mathbb{R}}^{2n-1}\) ⋮ Laguerre geometry of surfaces with plane lines of curvature ⋮ Marginally outer trapped surfaces in de Sitter space by low-dimensional geometries ⋮ Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces ⋮ Transformations and singularities of polarized curves ⋮ Deformations of surfaces associated with integrable Gauss–Mainardi–Codazzi equations ⋮ Covariant description of isothermic surfaces ⋮ Applications of quaternionic holomorphic geometry to minimal surfaces ⋮ Group interpretation of the spectral parameter. The case of isothermic surfaces. ⋮ Dispersionless (3+1)-dimensional integrable hierarchies ⋮ Loop group decompositions in almost split real forms and applications to soliton theory and geometry ⋮ Isothermic submanifolds ⋮ Soliton surfaces in the mechanical equilibrium of closed membranes ⋮ A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras ⋮ Adjoint transform of Willmore surfaces in \(\mathbb {S}^n\) ⋮ Weierstrass-type representations ⋮ Constructing Solutions to the Björling Problem for Isothermic Surfaces by Structure Preserving Discretization ⋮ Isothermic submanifolds of symmetric R-spaces ⋮ A class of linear spectral problems in Clifford algebras ⋮ Twisted hierarchies associated with the generalized sine-Gordon equation ⋮ Surfaces of Demoulin: Differential geometry, Bäcklund transformation and integrability
Cites Work
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- Isothermic surfaces in \(\mathbf E^3\) as soliton surfaces
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