On integrable systems outside Nijenhuis and Haantjes geometry

DOI10.1016/J.GEOMPHYS.2022.104571arXiv2102.10272WikidataQ114173456 ScholiaQ114173456MaRDI QIDQ6361126

A. V. Tsiganov

Publication date: 20 February 2021

Abstract: We study non-invariant Killing tensors with non-zero Nijenhuis torsion in the three-dimensional Euclidean space. Generalizing the corresponding integrable systems we construct two new families of superintegrable systems in $n$-dimensional Euclidean space.

Mathematics Subject Classification ID

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) 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)

This page was built for publication: On integrable systems outside Nijenhuis and Haantjes geometry

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6361126)