Differential geometry and mathematical physics. I: Manifolds, Lie groups and Hamiltonian systems

DOI10.1007/978-94-007-5345-7zbMath1259.53003OpenAlexW4248185632MaRDI QIDQ451985

Publication date: 25 September 2012

Published in: Theoretical and Mathematical Physics (Cham) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-94-007-5345-7

zbMATH Keywords

manifold symplectic geometry integrable systems Hamiltonian systems symplectic reduction Hamilton-Jacobi theory analysis on manifolds symmetries and reduction differential geometry applied Lie Groups applied

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Symplectic geometry, contact geometry (53D99) Contact systems (37J55)

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