Zero CR-curvature equations for rigid and tube hypersurfaces
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Isaev, Alexander
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Taylor & Francis Group
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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.
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Complex Variables and Elliptic Equations
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2037-12-31
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