The Group of Hamiltonian Symplectomorphisms
Symplectic diffeomorphisms, or symplectomorphisms as they are often called, are the “canonical transformations” which have been known and used by physicists for a long time. They generalize the linear (and affine) symplectic mappings we have been using so far. A basic reference for this chapter is Polterovich .
KeywordsNormal Subgroup Symplectic Form Hamiltonian Function Canonical Transformation Exponential Mapping
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