Infinitesimal CR automorphisms of rigid hypersurfaces in C2 |
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Authors: | Nancy K Stanton |
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Institution: | 1. Department of Mathematics, University of Notre Dame, 46556, Notre Dame, IN
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Abstract: | In this paper, we describe the space of infinitesimal CR automorphisms of a rigid, real analytic, real hypersurface in C2. We use these results to obtain a geometric characterization of the homogeneous hypersurfaces. Here, a hypersurface is called homogeneous if it is equivalent to one given by an equation of the formIm(w) =p wherep is a homogeneous polynomial inz and \(\bar z\) . This gives an answer in dimension 2 to a problem posed by Linda Rothschild. We give another answer, in terms of a normal form for the defining function, in our paper “A normal form for rigid hypersurfaces in C2.” |
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