Haro A.
Interpolation of an exact symplectomorphism by a 
Hamiltonian flow
(38K, Latex 2e)

ABSTRACT.  Let O be the zero-section of the cotangent bundle T*M of 
a real analytic manifold M. Let 
F:(T*M,O) -> (T*M,O)$ be a real analytic local 
diffeomorphism preserving the canonical symplectic form on 
T*M, given by the differential of the Liouville form a= p dq. 
Suppose that F*a-a is an exact form dS. Then: 
- We can reconstruct F from S and the dynamics on the zero 
section, f. 
- F can be included into a Hamiltonian flow, provided f is 
included into a flow. 
The proofs are constructive. They are related with a derivation 
on the Lie algebra of functions (endowed with 
the Poisson bracket).