• Corpus ID: 118174647

Analytic continuation of a biholomorphic mapping

@article{Park1999AnalyticCO,
  title={Analytic continuation of a biholomorphic mapping},
  author={Won K. Park},
  journal={arXiv: Complex Variables},
  year={1999}
}
  • Won K. Park
  • Published 4 February 1999
  • Mathematics
  • arXiv: Complex Variables
We present a new proof of Pinchuk's theorem on the analytic continuation of a biholomorphic mapping from a strongly pseudoconvex analytic real hypersurface to a compact strongly pseudoconvex analytic real hypersurface in a complex euclidean space. 
Umbilic points and Real hyperquadrics
We show a refined version of the existence and uniqueness theorem to Chern-Moser normal form. The class of nondegenerate real hypersurfaces in normal form has a natural group action. Umbilic point is
Normal forms of real hyepersurfaces with nondegenerate Levi form
We present a proof of the existence and uniqueness theorem of a normalizing biholomorphic mapping to Chern-Moser normal form. The explicit form of the equation of a chain on a real hyperquadric is

References

SHOWING 1-9 OF 9 REFERENCES
ON HOLOMORPHIC MAPPINGS OF REAL ANALYTIC HYPERSURFACES
Some questions of the analytic continuation of holomorphic mappings, arising in connection with the problem of the biholomorphic classification of strongly pseudoconvex domains in Cn, are studied.
Umbilic points and Real hyperquadrics
We show a refined version of the existence and uniqueness theorem to Chern-Moser normal form. The class of nondegenerate real hypersurfaces in normal form has a natural group action. Umbilic point is
LOCAL AUTOMORPHISMS AND MAPPINGS OF SMOOTH STRICTLY PSEUDOCONVEX HYPERSURFACES
Suppose given a smooth strictly pseudoconvex hypersurface not equivalent to the sphere, a point on the surface, and a neighborhood of the point. It is shown that all local automorphisms of the
ON THE DIMENSION OF THE GROUP OF AUTOMORPHISMS OF AN ANALYTIC HYPERSURFACE
Let be a nondegenerate real analytic hypersurface in , let , and let consist of the automorphisms of fixing the point . Then, as follows from a theorem of Moser, the real dimension of does not exceed
Real-analytic hypersurfaces in complex manifolds
At the beginning of this century Hartogs [15] directed attention to an interesting property of holomorphic functions of several complex variables, namely, their continuability. For example, if a
On non-degenerate real hypersurfaces, graded Lie algebras and Cartan connections
paper we have omitted the proof of Theorem 1 there, because it is essentially achieved by Tanaka [11] and the theorem is now familiar.) Let Mi (i=1, 2) be a real hypersurf ace of a complex manifold
Real hypersurfaces in complex manifolds
Whether one studies the geometry or analysis in the complex number space C a + l , or more generally, in a complex manifold, one will have to deal with domains. Their boundaries are real
Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » (http://www.sns.it/it/edizioni/riviste/annaliscienze/) implique l’accord avec les conditions
Projective geometry and Riemann's mapping problem