Hyper-complex four-manifolds from the Tzitzéica equation
From MaRDI portal
Publication:4830699
DOI10.1063/1.1426687zbMath1059.53040arXivnlin/0108017OpenAlexW3098249332MaRDI QIDQ4830699
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0108017
Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28)
Related Items (13)
Tzitzéica transformation is a dressing action ⋮ Geometry of paraquaternionic Kähler manifolds with torsion ⋮ Non-commutative Ward's conjecture and integrable systems ⋮ Rank 2 Bäcklund transformations of hyperbolic Monge-Ampère systems ⋮ Pseudo-hyperkähler geometry and generalized Kähler geometry ⋮ A dispersionless integrable system associated to \(\text{Diff}(S^1)\) gauge theory ⋮ Survey on real forms of the complex \(A_2^{(2)}\)-Toda equation and surface theory ⋮ Hyper-para-Hermitian manifolds with torsion ⋮ On paraquaternionic submersions between paraquaternionic Kähler manifolds ⋮ Para-Hermitian and paraquaternionic manifolds ⋮ Strominger-Yau-Zaslow geometry, affine spheres and Painlevé III ⋮ SOME CONSTRUCTIONS OF ALMOST PARA-HYPERHERMITIAN STRUCTURES ON MANIFOLDS AND TANGENT BUNDLES ⋮ On the Cauchy problem for the integrable system of Lie minimal surfaces
Cites Work
- The reduction problem and the inverse scattering method
- Infinite-dimensional gauge groups and special nonlinear gravitons
- The twisted photon associated to hyper-Hermitian four-manifolds
- Integrable and solvable systems, and relations among them
- From 2D integrable systems to self-dual gravity
- On an old article of Tzitzeica and the inverse scattering method
- Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II. Tzitzéica equation
- Hypercomplex integrable systems
- Die Differentialgleichung der Affinsphären in einer neuen Gestalt
- On self-dual gauge fields
This page was built for publication: Hyper-complex four-manifolds from the Tzitzéica equation
