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Stationary discs glued to a Levi non-degenerate hypersurface
Author(s):
Léa
Blanc-Centi
Journal:
Trans. Amer. Math. Soc.
361
(2009),
3223-3239.
MSC (2000):
Primary 32A10, 32V40
Posted:
December 31, 2008
MathSciNet review:
2485424
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Abstract:
We obtain an explicit parametrization of stationary discs glued to some Levi non-degenerate hypersurfaces. These discs form a family which is invariant under the action of biholomorphisms. We use this parametrization to construct a local circular representation of these hypersurfaces. As a corollary, we get the uniqueness of biholomorphisms with given 1-jet at some convenient point.
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Additional Information:
Léa
Blanc-Centi
Affiliation:
L.A.T.P., C.M.I., Universites de Marseille, 39 rue Joliot-Curie, 13453 Marseille Cedex 13, France
Address at time of publication:
U.M.P.A., E.N.S. Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France
Email:
lea@cmi.univ-mrs.fr, lea.blanc-centi@umpa.ens-lyon.fr
DOI:
10.1090/S0002-9947-08-04737-5
PII:
S 0002-9947(08)04737-5
Keywords:
Analytic discs,
Riemann maps
Received by editor(s):
February 8, 2007
Received by editor(s) in revised form:
July 23, 2007
Posted:
December 31, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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