Poisson supermanifold
Template:Short description {{ safesubst:#invoke:Unsubst||date=__DATE__ |$B= Template:Ambox }} In differential geometry a Poisson supermanifold is a differential supermanifold M such that the supercommutative algebra of smooth functions over it (to clarify this: M is not a point set space and so, doesn't "really" exist, and really, this algebra is all we have), <math>C^\infty(M)</math> is equipped with a bilinear map called the Poisson superbracket turning it into a Poisson superalgebra.
Every symplectic supermanifold is a Poisson supermanifold but not vice versa.