Nondegeneracy conditions and normal forms for real hypersurfaces in complex space

Peter Ebenfelt

Journées équations aux dérivées partielles (1997)

  • page 1-15
  • ISSN: 0752-0360

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Ebenfelt, Peter. "Nondegeneracy conditions and normal forms for real hypersurfaces in complex space." Journées équations aux dérivées partielles (1997): 1-15. <http://eudml.org/doc/93349>.

@article{Ebenfelt1997,
author = {Ebenfelt, Peter},
journal = {Journées équations aux dérivées partielles},
keywords = {real-analytic hypersurface in ; nondegeneracy conditions; normal form},
language = {eng},
pages = {1-15},
publisher = {Ecole polytechnique},
title = {Nondegeneracy conditions and normal forms for real hypersurfaces in complex space},
url = {http://eudml.org/doc/93349},
year = {1997},
}

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
PB - Ecole polytechnique
SP - 1
EP - 15
LA - eng
KW - real-analytic hypersurface in ; nondegeneracy conditions; normal form
UR - http://eudml.org/doc/93349
ER -

References

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  1. [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. Zbl0890.32005MR99b:32030
  2. [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). Zbl0982.32030
  3. [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. Zbl0943.32021MR99b:32022
  4. [BHR] M. S. Baouendi, X. Huang and L. P. Rothschild, Regularity of CR mappings between algebraic hypersurfaces, Invent. Math. 125 (1996), 13-36. Zbl0855.32009MR97c:32028
  5. [BR] M. S. Baouendi and Linda Preiss Rothschild, Mappings of real algebraic hypersurfaces, J. Amer. Math. Soc. 8 (1995), 997-1015. Zbl0869.14025MR96f:32039
  6. [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). Zbl0005.37304JFM58.1256.03
  7. [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). Zbl0005.37401JFM58.1256.03
  8. [CM] S.-S. Chern and J.K. Moser, Real hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219-271. Zbl0302.32015MR54 #13112
  9. [E] P. Ebenfelt, Normal forms and biholomorphic equivalence of real hypersurfaces in ℂ3 (1997), (Preprint ; 43 pp.). 
  10. [S1] N. Stanton, Infinitesimal CR automorphisms of rigid hypersurfaces, Amer. J. Math. 117 (1995), 141-167. Zbl0826.32013MR96a:32036
  11. [S2] N. Stanton, Infinitesimal CR automorphisms of real hypersurfaces, Amer. J. Math. 118 (1996), 209-233. Zbl0849.32012MR97h:32027
  12. [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. Zbl0113.06303MR26 #3086
  13. [T2] N. Tanaka, On generalized graded Lie algebras and geometric structures. I, J. Math. Soc. Japan 19 (1967), 215-254, (erratum 36, p. 1568). Zbl0165.56002MR36 #4470

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