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

Authors

  • Abderrabi Maati Université des Sciences et Technologies de Lille.

DOI:

https://doi.org/10.22199/S07160917.1999.0001.00004

Abstract

References

[1] Akahori A., A new approach to the local embedding theorem of CR structures for n ? 4, Mem. Amer. Math. Soc., No.366, Providence, R. I., (1987)

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[3] Baouendi M. S, Rothschild L. P, and Trèves F., CR structures with group action and extendability of CR functions. Invent. Math. 82, pp. 359-396 (1985).

[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; III, Ann.of Math.116, pp. 249-330, (1982).

[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).

Published

2018-04-04

How to Cite

[1]
A. Maati, “Réalisabilité locale des structures de Cauchy – Riemann rigides de IR3 , dans les classes Hölderiènnes”, Proyecciones (Antofagasta, On line), vol. 18, no. 1, pp. 49-69, Apr. 2018.

Issue

Section

Artículos