Haantjes manifolds with symmetry

DOI10.1134/S0040577918080081zbMath1404.37091arXiv1712.06320OpenAlexW2963501257MaRDI QIDQ1626670

Franco Magri

Publication date: 21 November 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06320

zbMATH Keywords

integrable systemWDVV equationflat Riemannian metric

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (max. 100)

Polarization of generalized Nijenhuis torsions ⋮ Killing tensors with nonvanishing Haantjes torsion and integrable systems ⋮ Generalized Nijenhuis torsions and block-diagonalization of operator fields ⋮ Haantjes algebras and diagonalization ⋮ Applications of Nijenhuis geometry: non-degenerate singular points of Poisson-Nijenhuis structures ⋮ Higher Haantjes brackets and integrability

Cites Work

• Coisotropic deformations of associative algebras and dispersionless integrable hierarchies
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
• THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
• On certain operators associated with tensor fields
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