CR-manifolds of codimension two of parabolic type Vladimir EzhovGerd SchmalzAndrea Spiro 32V4032V05CR manifolds of higher codimensionsnormal formsparabolic quadrics 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. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3134 10.1512/iumj.2008.57.3134 en Indiana Univ. Math. J. 57 (2008) 309 - 342 state-of-the-art mathematics http://iumj.org/access/