A cohomological approach to immersed submanifolds via integrable systems
DOI10.1007/s00029-018-0434-yzbMath1403.35269arXiv1709.07789OpenAlexW3099695171MaRDI QIDQ1618283
Javier de Lucas, A. Michel Grundland
Publication date: 13 November 2018
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.07789
cohomologyintegrable systemsgeneralized symmetriessoliton surfaces\(\mathbb{CP}^{N-1}\) sigma model\(\mathfrak{g}\)-valued de Rham cohomology\(\mathfrak{g}\)-valued differential formsimmersion formulas
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) de Rham theory in global analysis (58A12) Surfaces in Euclidean and related spaces (53A05) de Rham cohomology and algebraic geometry (14F40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometry of jet spaces and integrable systems
- Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
- On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
- Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces
- Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
- Painlevé equations in the differential geometry of surfaces
- On the horizontal gauge cohomology and nonremovability of the spectral parameter
- The Hopf fibration --- seven times in physics
- Surfaces in \(\mathbb{R}^ 3\) with prescribed curvature
- Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva)
- Soliton surfaces in the generalized symmetry approach
- Geometry of submanifolds derived from spin-valued spectral problems
- Cohomology of the infinite-order jet space and the inverse problem
- Three New (2+1)-dimensional Integrable Systems and Some Related Darboux Transformations
- Soliton surfaces associated with generalized symmetries of integrable equations
- Surfaces immersed in Lie algebras associated with elliptic integrals
- Invariant recurrence relations for {{{\mathbb C}}P^{N-1}} models
- On analytic descriptions of two-dimensional surfaces associated with the {\bb C} P^{N-1} sigma model
- A generalized formula for integrable classes of surfaces in Lie algebras
- New results on the Canham–Helfrich membrane model via the generalized Weierstrass representation
- Effective string theory
- $\mathbb CP^{N}$ sigma models via the $\mathbf{SU}(2)$ coherent states approach
- Topological Solitons
- Induced Surfaces and Their Integrable Dynamics
- Geometry of differential equations
- Soliton surfaces and generalized symmetries of integrable systems
- Pseudospherical surfaces on time scales: a geometric definition and the spectral approach
- Surfaces immersed in Lie algebras obtained from the sigma models
- A formula for constructing infinitely many surfaces on Lie algebras and integrable equations
- A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras
This page was built for publication: A cohomological approach to immersed submanifolds via integrable systems
