Elliptic Integrable Systems: a Comprehensive Geometric Interpretation
From MaRDI portal
Publication:5403712
DOI10.1090/S0065-9266-2012-00651-4zbMath1285.53010arXiv0904.1412MaRDI QIDQ5403712
Publication date: 18 March 2014
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.1412
Local differential geometry of Hermitian and Kählerian structures (53B35) Differential geometry of symmetric spaces (53C35) Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20)
Related Items
A loop group method for affine harmonic maps into Lie groups ⋮ Canonical distributions on Riemannian homogeneous \(k\)-symmetric spaces ⋮ Harmonic maps from super Riemann surfaces
Cites Work
- Constrained Willmore tori in the 4-sphere
- Almost Hermitian 6-manifolds revisited
- Twistor spaces
- Nearly Kähler and Hermitian \(f\)-structures on homogeneous \(k\)-symmetric spaces
- Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras
- Generalized symmetric spaces, Yu. P. Solovyov's formula, and the generalized Hermitian geometry
- Geometric interpretation of second elliptic integrable systems
- Isotropic surfaces in \(\mathbb O\) and integrable systems
- Invariant \(f\) -structures on naturally reductive homogeneous spaces
- Twistors, 4-symmetric spaces and integrable systems
- Calibrated geometries
- Harmonic maps into Lie groups (classical solutions of the chiral model)
- The sixteen classes of almost Hermitian manifolds and their linear invariants
- On the connection between harmonic maps and the self-dual Yang-Mills and the sine-Gordon equations
- Weierstrass type representation of harmonic maps into symmetric spaces
- Twistor spaces for Riemannian symmetric spaces
- Harmonic sections of homogeneous fibre bundles.
- On the holonomy of connections with skew-symmetric torsion
- Weierstrass representation of Lagrangian surfaces in four-dimensional space using spinors and quaternions
- Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
- Willmore immersions and loop groups
- Parallel spinors and connections with skew-symmetric torsion in string theory.
- Sigma-models with torsion
- On the classification of constant mean curvature tori
- Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
- Harmonic maps on contact metric manifolds
- Supersymmetric harmonic maps into symmetric spaces
- Constant mean curvature surfaces in hyperbolic 3-space via loop groups
- On the realization of Riemannian symmetric spaces in Lie groups. II
- Homogeneous spaces defined by Lie group automorphisms. I
- The Wess-Zumino term for a harmonic map
- ON DIFFERENTIAL GEOMETRY AND HOMOGENEOUS SPACES. II
- On Automorphisms of A Kählerian Structure
- Holomorphic Curves in Lorentzian CR-Manifolds
- The Gauss Section of a Riemannian Immersion
- Riemannian 4-Symmetric Spaces
- Harmonic tori in spheres and complex projective spaces.
- ON INTEGRABILITY CONDITIONS OF A STRUCTURE f SATISFYING f3+f=0
- CR-manifolds, harmonic maps and stability.
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
