Foliations by complex curves and the geometry of real surfaces of finite type (Q697334)

Here the author proves that if the Levi form of a smooth CR manifold \(M\) is degenerate in every conormal direction, then a dense open subset of \(M\) is foliated by complex curves. He uses his result to prove that every real analytic submanifold of finite D'Angelo type of \(\mathbb{C}^n\) can be stratified so that each stratum is a real analytic CR manifold which locally is contained in a Levi nondegenerate hypersurface.