Abstract
In this article we review the Cartan-Tanaka-Chern-Moser theory for Levi non-degenerate CR-hypersurfaces and apply it to the derivation of zero CR-curvature equations for rigid and tube hypersurfaces. These equations characterize rigid and tube hypersurfaces locally CR-equivalent to the corresponding real hyperquadric. Our exposition complements and corrects the author's earlier papers on this subject.
| Original language | English |
|---|---|
| Pages (from-to) | 317-344 |
| Number of pages | 28 |
| Journal | Complex Variables and Elliptic Equations |
| Volume | 54 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - Mar 2009 |