On the invariance of generating functions for symplectic transformations

DOI10.1016/0926-2245(95)00006-PzbMath0829.58014WikidataQ115362582 ScholiaQ115362582MaRDI QIDQ1842133

Dauliu Wang, Zhong Ge

Publication date: 18 May 1995

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

generating functionssymplectic geometryLagrangian submanifolds

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

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• Equivariant symplectic difference schemes and generating functions
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Symplectic manifolds and their Lagrangian submanifolds
• The invariance of Poincaré's generating function for canonical transformations

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