The concept of bi‐Hamiltonian systems and its connection with the theory of canonoid transformations is shown from a geometrical viewpoint. The relations between symplectic and canonoid diffeomorphisms are studied using an approach based on the theory of generating functions. These results are used for obtaining a new theorem which will represent an intrinsic and coordinate‐free generalization of the ‘‘quadratic Hamiltonian theorem.’’
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© 1990 American Institute of Physics.
1990
American Institute of Physics
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