SUSY
A pre-SUSY-structure on a supermanifold of dimension (n,m) is an odd m-dimensional distribution . With such a distribution one associates its Frobenius tensor (since P is odd, the skew-symmetric Frobenius tensor is a symmetric operation). If this tensor is non-degenerate, e.g. lies in an open orbit of, M is called a SUSY-manifold. SUSY-structure in dimension (1, k) is the same as odd contact structure.
Read more about this topic: Supermanifold