Partial separability and symplectic-Haantjes manifolds
DOI10.1007/S10231-024-01462-YMaRDI QIDQ6624151
Giorgio Tondo, Daniel Reyes, Piergiulio Tempesta
Publication date: 25 October 2024
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Could not fetch data.
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) 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)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Haantjes structures for the Jacobi-Calogero model and the Benenti systems
- Haantjes manifolds and Veselov systems
- Separable coordinates for four-dimensional Riemannian spaces
- Separation of variables for bi-Hamiltonian systems
- Ueber quadratische Integrale der Differentialgleichungen der Dynamik.
- Sugli integrali primi quadratici delle equazioni della meccanica.
- Sur une classe de problèmes de dynamique.
- Haantjes manifolds with symmetry
- Higher Haantjes brackets and integrability
- Haantjes algebras of classical integrable systems
- Kinetic equation for soliton gas: integrable reductions
- Haantjes algebras and diagonalization
- Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry
- Separability and symmetry operators for Painlevé metrics and their conformal deformations
- Separable systems of Stäckel.
- Block-separation of variables: a form of partial separation for natural Hamiltonians
- Generalized Nijenhuis torsions and block-diagonalization of operator fields
- The Haantjes tensor and double waves for multi-dimensional systems of hydrodynamic type: a necessary condition for integrability
- Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. II. Partial separation
- A simple model of the integrable Hamiltonian equation
- What an Effective Criterion of Separability says about the Calogero Type Systems
- General algebraic identities for the Nijenhuis and Haantjes tensors
- Polarization of generalized Nijenhuis torsions
- A new look into the concept of separable system of classical mechanics
This page was built for publication: Partial separability and symplectic-Haantjes manifolds
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6624151)