Harmonic maps into Lie groups (classical solutions of the chiral model)
From MaRDI portal
Publication:1123456
DOI10.4310/jdg/1214443286zbMath0677.58020OpenAlexW2022720891WikidataQ115182635 ScholiaQ115182635MaRDI QIDQ1123456
Publication date: 1989
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214443286
Related Items (only showing first 100 items - show all)
PROJECTIVE LOOPS GENERATE RATIONAL LOOP GROUPS ⋮ Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_n\) ⋮ Supersymmetric harmonic maps into symmetric spaces ⋮ 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 ⋮ Resurgence and dynamics of \(\mathrm{O}(N)\) and Grassmannian sigma models ⋮ Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles ⋮ Biharmonic maps from a 2-sphere ⋮ Curved flats, pluriharmonic maps and constant curvature immersions into pseudo-Riemannian space forms ⋮ On the associated family of Delaunay surfaces ⋮ SOME PROPERTIES OF NONLINEAR σ-MODELS IN NONCOMMUTATIVE GEOMETRY ⋮ Holomorphic representation of constant mean curvature surfaces in Minkowski space: consequences of non-compactness in loop group methods ⋮ Harmonic and biharmonic homomorphisms between Riemannian Lie groups ⋮ Minimal two-spheres in \(G(2, 4; (C))\) with parallel second fundamental form ⋮ Rigidity of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_4\) ⋮ Harmonic maps and shift-invariant subspaces ⋮ Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theory ⋮ On conformal minimal immersions with constant curvature from two-spheres into the complex hyperquadrics ⋮ Totally real flat minimal surfaces in the hyperquadric ⋮ Flag manifold $\sigma$-models: the $\frac{1}{N}$-expansion and the anomaly two-form ⋮ On the late phase of relaxation of two-dimensional fluids: turbulence of unitons ⋮ Poisson-Poincaré reduction for field theories ⋮ Bi-Yang-Baxter models and Sl(2)-orbits ⋮ Rigidity of homogeneous holomorphic \(S^2\) in a complex Grassmann manifold \(G(2, N)\) ⋮ HARMONIC MAPS AND TWISTORIAL STRUCTURES ⋮ Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups ⋮ Diagrams and harmonic maps, revisited ⋮ A finiteness theorem for harmonic maps into Hilbert Grassmannians ⋮ Unnamed Item ⋮ On a stack of surfaces obtained from the $\boldsymbol {\mathbb{C}P^{N-1}}$ sigma models ⋮ Totally real flat minimal surfaces in quaternionic projective spaces ⋮ Applications harmoniques stables dans $P^n$ ⋮ Relative energy gap for harmonic maps of Riemann surfaces into real analytic Riemannian manifolds ⋮ The symmetries of solitons ⋮ Actions of Loop Groups on Harmonic Maps ⋮ Elliptic Integrable Systems: a Comprehensive Geometric Interpretation ⋮ Minimal 2-spheres in a complex projective space ⋮ Sequences of Willmore surfaces ⋮ Harmonic maps into the exceptional symmetric space G2 /SO(4) ⋮ The energy of scattering solitons in the Ward model ⋮ Scattering of noncommutative solitons in \(2+1\) dimensions ⋮ Pseudo-holomorphic curves in complex Grassmann manifolds ⋮ Structural equations of supermanifolds immersed in the superspace ${\mathcal{M}^{(3\vert2)}(c)}$ with a prescribed curvature ⋮ Conformal minimal two-spheres with constant Gauss curvature in U(3) ⋮ Generators for rational loop groups ⋮ NONTRIVIAL SOLITON SCATTERING IN PLANAR INTEGRABLE SYSTEMS ⋮ Willmore 2-Spheres in $$S^n$$ S n : A Survey ⋮ Unnamed Item ⋮ Integrated Lax formalism for principal chiral model ⋮ Harmonic surfaces in the Cayley plane ⋮ Dressing preserving the fundamental group ⋮ Solitons for the Schrödinger flows on Hermitian symmetric spaces ⋮ Harmonic maps of finite uniton number and their canonical elements ⋮ Tournaments, flags, and harmonic maps ⋮ Bäcklund transformations for harmonic maps in two independent variables ⋮ Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps ⋮ Flag manifold sigma models. Spin chains and integrable theories ⋮ Classification of pluriharmonic maps from compact complex manifolds with positive first Chern class into complex Grassmann manifolds ⋮ A loop group method for affine harmonic maps into Lie groups ⋮ Non-holomorphic harmonic morphisms from Kähler manifolds ⋮ Application of soliton theory to the construction of pseudospherical surfaces in \(\mathbb{R}^ 3\) ⋮ Group actions and deformations for harmonic maps into symmetric spaces ⋮ Lax triples for integrable surfaces in three-dimensional space ⋮ Pluriharmonic maps into Kähler symmetric spaces and Sym's formula ⋮ Area-minimizing cones over Grassmannian manifolds ⋮ Dressing orbits of harmonic maps ⋮ Discretizing constant curvature surfaces via loop group factorizations: The discrete sine- and sinh-Gordon equations ⋮ Bloch bundles, Marzari-Vanderbilt functional and maximally localized Wannier functions ⋮ Holomorphic curves in loop groups ⋮ All harmonic 2-spheres in the unitary group, completely explicitly ⋮ Weierstrass representation for minimal surfaces in hyperbolic space ⋮ On the dressing action of loop groups on constant mean curvature surfaces ⋮ A class of overdetermined systems defined by tableaux: involutiveness and the Cauchy problem ⋮ Density of bounded maps in Sobolev spaces into complete manifolds ⋮ Rigidity of holomorphic curves of constant curvature in \(G(2,5)\) ⋮ The \(\mu\)-Darboux transformation of minimal surfaces ⋮ New constructions of twistor lifts for harmonic maps ⋮ Homogeneity-preserving property of harmonic sequences from surfaces into complex Grassmann manifolds ⋮ Darboux transforms and simple factor dressing of constant mean curvature surfaces ⋮ The space of equivariant harmonic tori in the 3-sphere ⋮ On the dimension of solution spaces of a noncommutative sigma model in the case of uniton number 2 ⋮ Harmonic maps of finite uniton number into \(G _{2}\) ⋮ The integrable harmonic map problem versus Ricci flow ⋮ Darboux transforms and spectral curves of constant mean curvature surfaces revisited ⋮ Minimal timelike surfaces in a certain homogeneous Lorentzian 3-manifold ⋮ Classical solutions of the chiral model, unitons, and holomorphic vector bundles ⋮ Explicit construction of harmonic two-spheres into the complex Grassmannian ⋮ Constructive factorizations of unitons via singular Darboux transformations ⋮ Extended solutions in a noncommutative sigma model ⋮ Integrability of the bi-Yang-Baxter \(\sigma\)-model ⋮ Nonlinear \(\sigma\)-models on spheres and Toda systems ⋮ Minimal two-spheres with constant curvature in the complex Grassmannians ⋮ Nontrivial scattering of localized solitons in a \((2+1)\)-dimensional integrable system ⋮ Conserved quantities for integrable chiral equations in \(2+1\) dimensions ⋮ Pseudo-holomorphic curves of constant curvature in complex Grassmannians ⋮ Further remarks on the chiral model approach to self-dual gravity ⋮ On the Weyl-Wigner-Moyal description of \(\text{SU}(\infty)\) Nahm equations. ⋮ Higher-order conservation laws for the nonlinear Poisson equation via characteristic cohomology ⋮ Harmonic maps into periodic flag manifolds and into loop groups ⋮ Classification of homogeneous holomorphic two-spheres in complex Grassmann manifolds
This page was built for publication: Harmonic maps into Lie groups (classical solutions of the chiral model)
