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Réalisabilité locale des structures de Cauchy – Riemann rigides de IR3 , dans les classes Hölderiènnes

  • Maati, Abderrabi [1]
    1. [1] Université des Sciences et Technologies de Lille.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 18, Nº. 1, 1999, págs. 49-69
  • Idioma: español
  • DOI: 10.22199/S07160917.1999.0001.00004
  • Enlaces
  • Referencias bibliográficas
    • Citas [1] Akahori A., A new approach to the local embedding theorem of CR structures for n ≥ 4, Mem. Amer. Math. Soc., No.366, Providence,...
    • [2] Alinhac S. - Gerard P., Opérateurs Pseudo-différentiels et théoreme de Nash-Moser, Editions du CNRS
    • [3] Baouendi M. S, Rothschild L. P, and Trèves F., CR structures with group action and extendability of CR functions. Invent. Math. 82, pp....
    • [4] Bogess A., C. R. Manifolds and the tangential Cauchy-Riemann complex; Studies in advanced Mathematics (1991).
    • [5] Chirka E. M Introduction to the geometry of C. R manifolds Math Survey pp. 46-1, (1991)
    • [6] Jacobowitz H., An introduction to CR structures Mathematical surveys and monographs, No 32, (AMS), (1990)
    • [7] Jacobowitz H. and Trèves F., Non realizable, CR structures Invent. Math. 66, pp. 231-249, (1982).
    • [8] Kuranishi M., Strongly pseudoconvex CR structures over small balls. I, Ann.of Math. 115 (1982), 451-500; II, Ann.of Math.l16 (1982), 1-64;...
    • [9] Nirenberg L., On a question of Hans Lewy. Russian Math. Surveys 29, pp. 251-262, (1974).
    • [10] Rosay J. P., New exemple of non locally embeddable CR structures. Ann. Inst. Fourier, 39, 3, pp. 811-823, (1989).
    • [11] Stein E. M Harmonic Analysis, Princeton Mathematical Series, 43.
    • [12] Webster S., On the proof of Kuranishi's Embedding Thcorem, Annals. Inst. H. Poincaré 6, pp. 183-207, (1989).

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