Twistors, 4-symmetric spaces and integrable systems
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Publication:1014220
DOI10.1007/s00208-008-0313-5zbMath1162.53035arXiv0804.4235OpenAlexW2001605710WikidataQ125933085 ScholiaQ125933085MaRDI QIDQ1014220
Idrisse Khemar, Francis E. Burstall
Publication date: 27 April 2009
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.4235
Riemannian symmetric spaceholomorphic mean curvaturereal or complex space formsvertically harmonic twistor lifts
Twistor methods in differential geometry (53C28) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Contact systems (37J55)
Related Items (7)
Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections ⋮ An inclusive immersion into a quaternionic manifold and its invariants ⋮ The classification of Hamiltonian stationary Lagrangian tori in \({{\mathbb {CP}}^2}\) by their spectral data ⋮ Elliptic Integrable Systems: a Comprehensive Geometric Interpretation ⋮ The spectral data for Hamiltonian stationary Lagrangian tori in \(\mathbb R^4\) ⋮ Surfaces in self-dual Einstein manifolds and their twistor lifts ⋮ Surfaces in four-dimensional hyperkähler manifolds whose twistor lifts are harmonic sections
Cites Work
- Constrained Willmore tori in the 4-sphere
- Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras
- Geometric interpretation of second elliptic integrable systems
- On surfaces whose twistor lifts are harmonic sections
- Isotropic surfaces in \(\mathbb O\) and integrable systems
- Generalized DPW method and an application to isometric immersions of space forms
- Harmonic maps into Lie groups (classical solutions of the chiral model)
- Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
- Harmonic sections of homogeneous fibre bundles.
- Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
- Integrable Hamiltonian systems and interactions through quadratic constraints
- Harmonic maps from a 2-torus to the 3-sphere
- Pluriharmonic Maps into Compact Lie Groups and Factorization into Unitons
- Hamiltonian stationary tori in the complex projective plane
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