Title: CR-manifolds of codimension two of parabolic type

Authors: Vladimir Ezhov, Gerd Schmalz and Andrea Spiro

Issue: Volume 57 (2008), Issue 1, 309-342

Abstract: For CR-manifolds in $\mathbb{C}^{4}$ with the Levi form at the origin of parabolic type we construct an analogue of the Chern-Moser normal form for Levi non-degenerate hypersurfaces. The group of transformations which map a given CR manifold of parabolic type into a normal form is shown to be isomorphic with the isotropy group of the osculating parabolic quadric at the origin.