Mircea Puta
The Completeness of some Hamiltonian Vector Fields on a Poisson Manifold
The paper is published: An. Univ. Timis., Ser. Mat.-Inform. 32, 2 (1994) 93-98

MSC:

58F05 Hamiltonian and Lagrangian systems; symplectic geometry, See also {70Hxx, 81S10}

Abstract: We prove that under some restrictions the flow of a Hamiltonian
vector field on a finite dimensional Poisson manifold exists for all
time.

Keywords: Poisson manifold, Hamiltonian vector field, complete vector field