Extended Hamilton–Jacobi theory, contact manifolds, and integrability by quadratures

DOI10.1063/1.5133153zbMath1461.70021arXiv1909.11393OpenAlexW3003753064MaRDI QIDQ5218812

Edith Padrón, Sergio Daniel Grillo

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11393

zbMATH Keywords

Hamilton-Jacobi theorycontact manifoldsintegrability by quadratures

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Approximate quadratures (41A55) Hamilton-Jacobi equations in mechanics (70H20) Flows related to symplectic and contact structures (53E50)

Related Items (8)

On the role of geometry in statistical mechanics and thermodynamics. I. Geometric perspective ⋮ Orbital dynamics on invariant sets of contact Hamiltonian systems ⋮ Implicit contact dynamics and Hamilton-Jacobi theory ⋮ Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems ⋮ Hamilton–Jacobi formalism on locally conformally symplectic manifolds ⋮ Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities ⋮ A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory

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