Extension of CR structures on pseudoconvex CR manifolds with one degenerate eigenvalue (Q1423889)

Let \(M\) be a CR manifold of CR codimension \(1\). The author shows that, under the assumption that \(M\) is of finite type and has a Levi form which is positive semidefinite and has at most one zero eigenvalue, the given CR structure on \(M\) can be extended to an integrable almost complex structure on the concave side of \(M\), so that \(M\) can be regarded as the boundary of a complex manifold.