The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics

  title={The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics},
  author={Ebenfelt and P J Huang and Xiaojun. Zaitsev},
  • Ebenfelt, P J Huang, Xiaojun. Zaitsev
  • Published 2004
We consider the class of Levi nondegenerate hypersurfaces M in C that admit a local (CR transversal) embedding, near a point p ∈ M , into a standard nondegenerate hyperquadric in C with codimension k := N − n small compared to the CR dimension n of M . We show that, for hypersurfaces in this class, there is a normal form (which is closely related to the embedding) such that any local equivalence between two hypersurfaces in normal form must be an automorphism of the associated tangent… CONTINUE READING
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