The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics

@inproceedings{Ebenfelt2004TheEP,
  title={The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics},
  author={Ebenfelt and P J Huang and Xiaojun. Zaitsev},
  year={2004}
}
  • 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
Highly Cited
This paper has 27 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 18 references

Positivity conditions for real-analytic functions. Complex analysis and geometry (Columbus

  • J. P. D’Angelo
  • Ohio State Univ. Math. Res. Inst. Publ. 9, de…
  • 1999

CR-geometry and deformations of isolated singularities

  • R.-O. Buchweitz, J. J. Millson
  • Mem. Amer. Math. Soc
  • 1997

Segre polar correspondence and double valued reflection for general ellipsoids. Analysis and geometry in several complex variables (Katata

  • S. M. Webster
  • Trends Math., Birkhuser
  • 1997

Several Complex Variables and the Geometry of Real Hypersurfaces

  • J. P. D’Angelo
  • CRC Press, Boca Raton,
  • 1993

A reflection principle for proper holomorphic mappings and geometric invariants

  • J. J. Faran
  • Math. Z
  • 1990

Extending proper holomorphic mappings of positive codimension

  • F. Forstnerič
  • Math .
  • 1989

Similar Papers

Loading similar papers…