Generalized Models and Local Invariants of Kohn–Nirenberg Domains

This paper studies the Kohn-Nirenberg phenomenon existence of weakly pseudoconvex but locally nonconvexifiable hypersurfaces. We give a characterization of such hypersurfaces in terms of a generalized model, which captures behaviour of the hypersurface also in the complex nontangential direction. As an application we obtain a new class of nonconvexifiable pseudoconvex hypersurfaces with convex models.