I k-foliation of a ##n##-manifold ##M## is a collection of disjoint, non-empty, submanifolds who's union is ##M##, such that we can find a chart ##(U,x^1, \ldots mx^k, y^{k+1}, \ldots, y^n)=(\phi, (x^\mu, y^\nu))## about any point with the property that setting the ##n-k## last coordinates equal...