Poisson supermanifold

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), 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.

See also

 

Prefix: a b c d e f g h i j k l m n o p q r s t u v w x y z 0 1 2 3 4 5 6 7 8 9

Portal di Ensiklopedia Dunia