Haantjes structures for the Jacobi-Calogero model and the Benenti systems

DOI10.3842/SIGMA.2016.023zbMath1332.37041arXiv1511.00234OpenAlexW2269273052MaRDI QIDQ254673

Giorgio Tondo, Piergiulio Tempesta

Publication date: 8 March 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00234

zbMATH Keywords

Benenti systemsHaantjes tensorquasi-bi-Hamiltonian systemsStäckel systemssymplectic-Haantjes manifolds

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)

Related Items

Polarization of generalized Nijenhuis torsions, Killing tensors with nonvanishing Haantjes torsion and integrable systems, An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families, Generalized Nijenhuis torsions and block-diagonalization of operator fields, Haantjes algebras of the Lagrange top, Haantjes algebras and diagonalization, Examples of four- or six-dimensional symplectic-Haantjes manifolds and about a relationship with recursion operators, Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry, Integrability theorems of free systems and symplectic Haantjes structures, Higher Haantjes brackets and integrability, Haantjes structures for the Jacobi-Calogero model and the Benenti systems, Haantjes algebras of classical integrable systems

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