Poisson quasi-Nijenhuis manifolds and the Toda system

DOI10.1007/s11040-020-09352-4zbMath1453.37057arXiv2003.08916OpenAlexW3099423133MaRDI QIDQ2007023

Marco Pedroni, Igor Mencattini, Gregorio Falqui, Giovanni Ortenzi

Publication date: 12 October 2020

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08916

zbMATH Keywords

integrable systemsbi-Hamiltonian manifoldsToda latticesPoisson quasi-Nijenhuis manifolds

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) 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

Dirac structures and Nijenhuis operators ⋮ Poisson quasi-Nijenhuis deformations of the canonical PN structure

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