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Zero CR-curvature equations for rigid and tube hypersurfaces

Isaev, Alexander


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.

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Complex Variables and Elliptic Equations
DOI: 10.1080/17476930902759460


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