foliation

200px|thumb|2-dimensional section of Reeb foliation 200px|thumb|right|3-dimensional model of Reeb foliation

In mathematics, a '''p-dimensional foliation' is a partition of a manifold into submanifolds, all of the same dimension p, locally modeled on the decomposition of Rn into the p-dimensional planes cut out by the equations x_{p+1} = a_{p+1}, \ldots, x_n = a_n. The submanifolds are called the leaves of the foliation.