Poisson Maps
A Poisson map from a Poisson manifold (M,{⋅,⋅}M) to another Poisson manifold (N,{⋅,⋅}N) is defined to be a smooth map φ: M → N that respects the Poisson structures in the following sense:
- .
A Poisson map may be viewed as a morphism in the category of Poisson manifolds.
Read more about this topic: Poisson Manifold
Famous quotes containing the word maps:
“And now good morrow to our waking souls,
Which watch not one another out of fear;
For love all love of other sights controls,
And makes one little room an everywhere.
Let sea-discoverers to new worlds have gone,
Let maps to other, worlds on worlds have shown,
Let us possess one world; each hath one, and is one.”
—John Donne (1572–1631)