Applications of Nijenhuis geometry: Nondegenerate singular points of Poisson-Nijenhuis structures
DOI10.1007/s40879-020-00429-6zbMath1515.37054arXiv2001.04851MaRDI QIDQ6332864
Vladimir S. Matveev, Alexei V. Bolsinov, Andrey Yu. Konyaev
Publication date: 14 January 2020
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Canonical transformations in symplectic and contact geometry (53D22) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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