  In this note we announce some results, due to appear in [2], [3], on the
structure of integral and normal currents, and their relation to Frobenius
theorem. In particular we show that an integral current cannot be tangent to a
distribution of planes which is nowhere involutive (Theorem 3.6), and that a
normal current which is tangent to an involutive distribution of planes can be
locally foliated in terms of integral currents (Theorem 4.3). This statement
gives a partial answer to a question raised by Frank Morgan in [1].
