Generating functions of symplectomorphisms
Copyright policy )Generating functions of symplectomorphisms
The author suggests a construction which allows him to replace the infinite-dimensional loop space by the finite-dimensional space of closed polygons in the Conley-Zehnder's proof of Arnol'd's problem on fixed points of symplectic diffeomorphisms of tori. Also an explicit geometric construction for the generating function of a symplectomorphism of \(\mathbb{R}^{2n}\) is given.
- Université Libre de Bruxelles Belgium
Manifolds of mappings, loop space, Mathématiques, generating function, symplectic diffeomorphisms, Analyse mathématique, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
Manifolds of mappings, loop space, Mathématiques, generating function, symplectic diffeomorphisms, Analyse mathématique, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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