A Map between the Symplectic Manifolds and which is a Diffeomorphism and (where is the Pullback Map induced by , i.e., the derivative of the Diffeomorphism acting on tangent vectors). A symplectic diffeomorphism is also known as a Symplectomorphism or Canonical Transformation.

**References**

Guillemin, V. and Sternberg, S. *Symplectic Techniques in Physics.* New York: Cambridge University Press, p. 34, 1984.

© 1996-9

1999-05-26