Canonical Hamiltonian systems in symplectic statistical manifolds

DOI10.1007/978-3-031-38299-4_19OpenAlexW4385417312MaRDI QIDQ6178996

Michel Nguiffo Boyom

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38299-4_19

zbMATH Keywords

Hamiltonian systemsymplectic statistical manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Applications of differential geometry to physics (53Z05) Differential geometric aspects of statistical manifolds and information geometry (53B12) 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)

Cites Work

• Hamiltonian operators and algebraic structures related to them
• Geometry of bi-Hamiltonian systems
• A simple model of the integrable Hamiltonian equation
• About the existence of recursion operators for completely integrable Hamiltonian systems near a Liouville torus

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