A symplectic diffeomorphism 
between symplectic
manifolds is a diffeomorphism satisfying 
,
where 
is the pullback map on differential
forms. A symplectic diffeomorphism is also known as a symplectomorphism or canonical
transformation.
Symplectic Diffeomorphism
See also
Diffeomorphism, Hamiltonian Diffeomorphism, Hamiltonian Isotopy, Pullback Map, Symplectic ManifoldExplore with Wolfram|Alpha
References
Guillemin, V. and Sternberg, S. Symplectic Techniques in Physics. New York: Cambridge University Press, p. 34, 1984.Referenced on Wolfram|Alpha
Symplectic DiffeomorphismCite this as:
Weisstein, Eric W. "Symplectic Diffeomorphism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SymplecticDiffeomorphism.html