Necessary conditions for existence of non-degenerate Hamiltonian structures

DOI10.1007/BF02517890zbMath0872.58026MaRDI QIDQ679374

Oleg I. Bogoyavlenskij

Publication date: 22 April 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Nijenhuis tensorHamiltonian structuresHaantjes tensors

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Block-diagonalizability problem for hydrodynamic type systems ⋮ Differential-geometric invariants of the Hamiltonian systems of PDE's ⋮ Decoupling problem for systems of quasi-linear PDE's ⋮ Criteria for existence of a Hamiltonian structure ⋮ Algebraic identities for the Nijenhuis tensors ⋮ Generalized Nijenhuis torsions and block-diagonalization of operator fields ⋮ Lie algebra structures for four-component Hamiltonian hydrodynamic type systems ⋮ Haantjes algebras and diagonalization ⋮ Invariant foliations for the Poisson brackets of hydrodynamic type ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ Classical multiseparable Hamiltonian systems, superintegrability and Haantjes geometry ⋮ Poisson quasi-Nijenhuis manifolds and the Toda system ⋮ WDVV equations: symbolic computations of Hamiltonian operators ⋮ Schouten tensor and bi-Hamiltonian systems of hydrodynamic type ⋮ Higher Haantjes brackets and integrability ⋮ Haantjes structures for the Jacobi-Calogero model and the Benenti systems

Cites Work

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