Invariant vector fields of Hamiltonians


Jacek Debecki


Address. Uniwersytet Jagiellonski, Instytut Matematyki, ul. Reymonta 4, 30-059 Krakow, POLAND

E-mail: debecki@im.uj.edu.pl

Abstract. A complete classification of natural transformations of Hamiltonians into vector fields on symplectic manifolds is given herein.

AMSclassification. 53C15, 53C57, 58F05

Keywords. Symplectic manifold, Hamiltonian lift, natural operator