Rigid Levi degenerate hypersurfaces with vanishing CR-curvature

Abstract

We continue the study, initiated in our earlier article, of a class of rigid hypersurfaces in that are 2-nondegenerate and uniformly Levi degenerate of rank 1, having zero CR-curvature. We drop the restrictive assumptions of the earlier paper and give a complete description of the class. Surprisingly, the answer is expressed in terms of solutions of several well-known differential equations, in particular, the equation characterizing conformal metrics of constant negative curvature and a nonlinear -equation. Show more