Examples of four- or six-dimensional symplectic-Haantjes manifolds and about a relationship with recursion operators

DOI10.7546/GIQ-22-2021-263-273zbMath1493.37072OpenAlexW3161033049MaRDI QIDQ1980330

Tsukasa Takeuchi

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-22-2021-263-273

zbMATH Keywords

recursion operatorintegrable Hamiltonian systemsHaantjes operatorLenard-Haantjes chain

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (1)

Integrability theorems of free systems and symplectic Haantjes structures

Cites Work

• Haantjes structures for the Jacobi-Calogero model and the Benenti systems
• Beyond recursion operators
• On the construction of recursion operators for the Kerr-Newman and FRLW metrics
• A Recursion Operator for Solutions of Einstein Field Equations
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