Nondegeneracy conditions and normal forms for real hypersurfaces in complex space
Journées équations aux dérivées partielles (1997), article no. 7, 15 p.

Voir la notice de l'acte provenant de la source Numdam

@incollection{JEDP_1997____A7_0,
     author = {Ebenfelt, Peter},
     title = {Nondegeneracy conditions and normal forms for real hypersurfaces in complex space},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {7},
     pages = {1--15},
     publisher = {\'Ecole polytechnique},
     year = {1997},
     zbl = {01808667},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JEDP_1997____A7_0/}
}
TY  - JOUR
AU  - Ebenfelt, Peter
TI  - Nondegeneracy conditions and normal forms for real hypersurfaces in complex space
JO  - Journées équations aux dérivées partielles
PY  - 1997
SP  - 1
EP  - 15
PB  - École polytechnique
UR  - http://geodesic.mathdoc.fr/item/JEDP_1997____A7_0/
LA  - en
ID  - JEDP_1997____A7_0
ER  - 
%0 Journal Article
%A Ebenfelt, Peter
%T Nondegeneracy conditions and normal forms for real hypersurfaces in complex space
%J Journées équations aux dérivées partielles
%D 1997
%P 1-15
%I École polytechnique
%U http://geodesic.mathdoc.fr/item/JEDP_1997____A7_0/
%G en
%F JEDP_1997____A7_0
Ebenfelt, Peter. Nondegeneracy conditions and normal forms for real hypersurfaces in complex space. Journées équations aux dérivées partielles (1997), article  no. 7, 15 p. http://geodesic.mathdoc.fr/item/JEDP_1997____A7_0/

[BER1] M. S. Baouendi, P. Ebenfelt and L. P. Rothschild, Algebraicity of holomorphic mappings between real algebraic sets in ℂN, Acta Math. 177 (1996), 225-273. | Zbl | MR

[BER2] M. S. Baouendi, P. Ebenfelt and L. P. Rothschild, Infinitesimal CR automorphisms of real analytic manifolds in complex space, Comm. Anal. Geom., (to appear). | Zbl

[BER3] M. S. Baouendi, P. Ebenfelt and L. P. Rothschild, Parametrization of local biholomorphisms of real analytic hypersurfaces, Asian J. Math. 1 (1997), no. 1. | Zbl | MR

[BHR] M. S. Baouendi, X. Huang and L. P. Rothschild, Regularity of CR mappings between algebraic hypersurfaces, Invent. Math. 125 (1996), 13-36. | Zbl | MR

[BR] M. S. Baouendi and Linda Preiss Rothschild, Mappings of real algebraic hypersurfaces, J. Amer. Math. Soc. 8 (1995), 997-1015. | Zbl | MR

[C1] E. Cartan, Sur la géométrie pseudo-conforme des hypersurfaces de deux variables complexes, I, Ann. Math. Pura Appl. 11 (1932), 17-90, (or Oeuvres II, 1231-1304). | Zbl | MR

[C2] E. Cartan, Sur la géométrie pseudo-conforme des hypersurfaces de deux variables complexes, II, Ann. Scoula Norm. Sup. Pisa 1 (1932), 333-354, (or Oeuvres III, 1217-1238). | JFM | mathdoc-id

[CM] S.-S. Chern and J.K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219-271. | Zbl | MR

[E] P. Ebenfelt, Normal forms and biholomorphic equivalence of real hypersurfaces in ℂ3 (1997), (Preprint ; 43 pp.).

[S1] N. Stanton, Infinitesimal CR automorphisms of rigid hypersurfaces, Amer. J. Math. 117 (1995), 141-167. | Zbl | MR

[S2] N. Stanton, Infinitesimal CR automorphisms of real hypersurfaces, Amer. J. Math. 118 (1996), 209-233. | Zbl | MR

[T1] N. Tanaka, On the pseudo-conformal geometry of hypersurfaces of the space of n complex variables, J. Math. Soc. Japan 14 (1962), 397-429. | Zbl | MR

[T2] N. Tanaka, On generalized graded Lie algebras and geometric structures. I, J. Math. Soc. Japan 19 (1967), 215-254, (erratum 36, p. 1568). | Zbl | MR