Invariant Nijenhuis tensors and integrable geodesic flows
DOI10.3842/SIGMA.2019.056zbMath1430.37057arXiv1812.04511OpenAlexW2964508796MaRDI QIDQ2330828
Konrad Lompert, Andriy Panasyuk
Publication date: 23 October 2019
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.04511
homogeneous spacesintegrable systemsLie algebrasLiouville integrabilitybi-Hamiltonian structuresbi-Poisson structures
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Geodesic flows in symplectic geometry and contact geometry (53D25) 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 Lie algebras and other algebraic structures (37J37)
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