Equivalent integrable metrics on the sphere with quartic invariants

DOI10.3842/SIGMA.2022.094MaRDI QIDQ2105553

Andreĭ Vladimirovich Tsyganov

Publication date: 8 December 2022

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.09576

zbMATH Keywords

canonical transformationstwo-dimensional sphereintegrable metrics

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Constrained dynamics, Dirac's theory of constraints (70H45) Canonical transformations in symplectic and contact geometry (53D22) Symplectic and canonical mappings (37J11) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (1)

Integrable systems on a sphere, an ellipsoid and a hyperboloid

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