|
A hypersurface in whose stability group is not determined by -jets
Author(s):
R.
Travis
Kowalski
Journal:
Proc. Amer. Math. Soc.
130
(2002),
3679-3686.
MSC (2000):
Primary 32H12, 32V20
Posted:
May 15, 2002
MathSciNet review:
1920048
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
We give an example of a hypersurface in through whose stability group at is determined by -jets, but not by jets of any lesser order. We also examine some of the properties which the stability group of this infinite type hypersurface shares with the -sphere in .
References:
-
- [BER00]
- M. S. Baouendi, P. Ebenfelt, and L. P. Rothschild, Local geometric properties of real submanifolds in complex space, Bull. Amer. Math. Soc. (N.S.) 37 (2000) no. 3, 309-336 (electronic). MR 2001a:32043
- [BG77]
- T. Bloom and I. Graham, On ``type'' conditions for generic real submanifolds of
, Invent. Math. 40 (1977) no. 3, 217-243. MR 58:28644 - [CM74]
- S. S. Chern and J. K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219-271. MR 54:13112
- [ELZ00]
- P. Ebenfelt, B. Lamel, and D. Zaitsev, Finite jet determination of local analytic CR automorphisms and their parametrization by
-jets in the finite type case, E-print: http://arXiv.org/abs/math.CV/0107013, (2000). - [Koh72]
- J. J. Kohn, Boundary behavior of
on weakly pseudo-convex manifolds of dimension two, J. Differential Geometry 6 (1972), 523-542. MR 48:727 - [Kow01]
- R. T. Kowalski, Rational jet dependence of formal equivalences between real-analytic hypersurfaces in
, E-print: http://arXiv.org/abs/math.CV/0108165, (2001). - [Poi07]
- H. Poincaré, Les fonctions analytiques de deux variables et la représentation conforme, Rend. Circ. Mat. Palermo, II. Ser. 23 (1907), 544-547.
- [Vit90]
- A. G. Vitushkin, Several complex variables. I (Translation by P. M. Gauthier), Springer-Verlag, Berlin, 1990, pp. 159-214. MR 90j:32003
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
32H12, 32V20
Retrieve articles in all Journals with
MSC (2000):
32H12, 32V20
Additional Information:
R.
Travis
Kowalski
Affiliation:
Department of Mathematics, 0112, University of California, San Diego, La Jolla, California 92093-0112
Email:
kowalski@math.ucsd.edu
DOI:
10.1090/S0002-9939-02-06545-0
PII:
S 0002-9939(02)06545-0
Received by editor(s):
July 31, 2001
Posted:
May 15, 2002
Communicated by:
Mei-Chi Shaw
Copyright of article:
Copyright
2002,
American Mathematical Society
|