On the existence of superconformal 2-tori and doubly periodic affine Toda fields

DOI10.1016/S0393-0440(97)00009-0zbMath0897.58013MaRDI QIDQ1378918

Ian McIntosh

Publication date: 8 October 1998

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

integrable systemssymmetric spacecomplex projective spaceharmonic surfacessuperconformal 2-toriToda fields

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Harmonic maps, etc. (58E20)

Related Items (2)

The geometric complexity of special Lagrangian \(T^2\)-cones ⋮ The classification of Hamiltonian stationary Lagrangian tori in \({{\mathbb {CP}}^2}\) by their spectral data

Cites Work

• Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras
• All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
• Loop groups and equations of KdV type
• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• Harmonic maps from a 2-torus to the 3-sphere
• Constant mean curvature surfaces and integrable equations
• Theta functions and non-linear equations
• Hill and toda curves
• TWO REMARKS ON THE CONSTRUCTION OF HARMONIC TORI IN CPⁿ
• Harmonic tori in spheres and complex projective spaces.
• Global solutions of the elliptic 2D periodic Toda lattice
• A CONSTRUCTION OF ALL NON-ISOTROPIC HARMONIC TORI IN COMPLEX PROJECTIVE SPACE
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