Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras
From MaRDI portal
Publication:690124
DOI10.2307/2946637zbMath0796.53063OpenAlexW1979881729MaRDI QIDQ690124
Dirk Ferus, Franz J. Pedit, Francis E. Burstall, Ulrich Pinkall
Publication date: 20 September 1994
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/8cfe40f6f292ce818c1bf6bfd7691db3afba20ae
Supermanifolds and graded manifolds (58A50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)
Related Items
Toda frames, harmonic maps and extended Dynkin diagrams, The geometric complexity of special Lagrangian \(T^2\)-cones, Conformal maps from a 2-torus to the 4-sphere, Non-holomorphic harmonic morphisms from Kähler manifolds, Application of soliton theory to the construction of pseudospherical surfaces in \(\mathbb{R}^ 3\), Simple factor dressing and the López-Ros deformation of minimal surfaces in Euclidean 3-space, GEOMETRY OF THE MODULI SPACES OF HARMONIC MAPS INTO LIE GROUPS VIA GAUGE THEORY OVER RIEMANN SURFACES, Curved flats in symmetric spaces, Curved flats, pluriharmonic maps and constant curvature immersions into pseudo-Riemannian space forms, On the meromorphic potential for a harmonic surface in a \(k\)-symmetric space, Hamiltonian stationary Lagrangian surfaces in \(\mathbb C \mathbb{P}^{2}\), Dressing orbits of harmonic maps, Discretizing constant curvature surfaces via loop group factorizations: The discrete sine- and sinh-Gordon equations, AKS hierarchy and bi-Hamiltonian geometry of Gelfand–Zakharevich type, On the existence of superconformal 2-tori and doubly periodic affine Toda fields, Isometric immersions of space forms and soliton theory, Deformation quasi-Hopf algebras of non-semisimple type from cochain twists, Formal conserved quantities for isothermic surfaces, Harmonic tori in quaternionic projective 3-spaces, Finite type minimal annuli in \(\mathbb{S}^{2}\times\mathbb{R}\), Localized induction hierarchy and Weingarten systems, Higher-order conservation laws for the nonlinear Poisson equation via characteristic cohomology, Harmonic tori in de Sitter spaces \(S^{2n}_1\), Harmonic maps from super Riemann surfaces, Elliptic Integrable Systems: a Comprehensive Geometric Interpretation, Applications of quaternionic holomorphic geometry to minimal surfaces, Associated family of \(G\)-structure preserving minimal immersions in semi-Riemannian manifolds, Non-isotropic harmonic tori in complex projective spaces and configurations of points on rational or elliptic curves, Integrable sigma-models and Drinfeld-Sokolov hierarchies, Totally real minimal tori in \(\mathbb CP^2\), A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\), Integrability of generalized pluriharmonic maps, Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems, Mean-convex Alexandrov embedded constant mean curvature tori in the 3-sphere, The Lie-Poisson structure of integrable classical nonlinear sigma models, Travelling wave solutions for the KdV-Burgers-Kuramoto and nonlinear Schrödinger equations which describe pseudospherical surfaces, Twistors, 4-symmetric spaces and integrable systems, Generalized DPW method and an application to isometric immersions of space forms, ADDING A UNITON VIA THE DPW METHOD, On harmonic tori in compact rank one symmetric spaces, What is integrability of discrete variational systems?, On the Lagrangian Structure of Integrable Hierarchies, Novikov-Veselov symmetries of the two-dimensional \(O(N)\) sigma model, Harmonic surfaces in the Cayley plane, Superconformal harmonic surfaces in de Sitter space-times, On the elliptic sinh–Gordon equation with integrable boundary conditions *, \(f\)-structures on the classical flag manifold which admit \((1,2)\)-symplectic metrics, Harmonic maps and harmonic morphisms, Periodic and homoclinic solutions of the modified 2+1 chiral model, Harmonic superconformal maps of surfaces in \(\mathbb{H}^n\), Willmore tori with umbilic lines and minimal surfaces in hyperbolic space, On non-isotropic harmonic maps of surfaces into complex projective spaces
