On the proof of Kuranishi's embedding theorem

Sidney Webster

Annales de l'I.H.P. Analyse non linéaire (1989)

  • Volume: 6, Issue: 3, page 183-207
  • ISSN: 0294-1449

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Webster, Sidney. "On the proof of Kuranishi's embedding theorem." Annales de l'I.H.P. Analyse non linéaire 6.3 (1989): 183-207. <http://eudml.org/doc/78174>.

@article{Webster1989,
author = {Webster, Sidney},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {local holomorphic embedding; strictly pseudoconvex CR manifold},
language = {eng},
number = {3},
pages = {183-207},
publisher = {Gauthier-Villars},
title = {On the proof of Kuranishi's embedding theorem},
url = {http://eudml.org/doc/78174},
volume = {6},
year = {1989},
}

TY - JOUR
AU - Webster, Sidney
TI - On the proof of Kuranishi's embedding theorem
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1989
PB - Gauthier-Villars
VL - 6
IS - 3
SP - 183
EP - 207
LA - eng
KW - local holomorphic embedding; strictly pseudoconvex CR manifold
UR - http://eudml.org/doc/78174
ER -

References

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  1. [1] T. Akahori, A New Approach to the Local Embedding Theorem of CR-Structures for n≧4, Memoirs of the A.M.S., No. 366, Providence, R.I., 1987. Zbl0628.32025
  2. [2] G.M. Henkin, The Lewy Equation and Analysis on Pseudoconvex Manifolds, Russ. Math. Surv., Vol. 32, No. 3, 1977, pp. 59-130 (from Uspekhi Mat. Nauk, Vol. 32, No. 3, 1977, pp. 57-118). Zbl0382.35038MR454067
  3. [3] J.J. Kohn, Boundaries of Complex Manifolds, Proc. Conf. Complex Anal., Minneapolis, 1964, Springer-Verlag, New York, 1965. Zbl0166.36003MR175149
  4. [4] M. Kuranishi, Strongly Pseudoconvex CR Structures over Small Balls, Ann. of Math., I, Vol. 115, 1982, pp. 451-500, II, Vol. 116, 1982, pp. 1-64, III, Vol. 116, 1982, pp. 249-330. Zbl0505.32018MR662117
  5. [5] J.K. Moser, A New Technique for the Construction of Solutions of Nonlinear Differential Equations, Proc. Nat. Acad. Sci. U.S.A., Vol. 47, 1961, pp. 1824-1831. Zbl0104.30503MR132859
  6. [6] J.K. Moser, On Invariant Curves of Area-Preserving Mappings of an Annulus, Nach. Akad. Wiss. Göttingen, Math. Phys. Kl., Vol. IIa, No. 1, 1962, pp. 1-20. Zbl0107.29301MR147741
  7. [7] J.K. Moser, A Rapidly Convergent Iteration Method and Nonlinear Differential Equations I, Ann. Scuola Norm. Sup. Pisa, Vol. 20, 1966, pp. 265-315. Zbl0174.47801MR199523
  8. [8] L. Nirenberg, Lecture on Linear Partial Differential Equations, C.B.M.S., No. 17, A.M.S., Providence, R.I., 1973. Zbl0267.35001MR450755
  9. [9] S.M. Webster, A New Proof of the Newlander-Nirenberg Theorem, Math. Zeit. (to appear). Zbl0651.32004MR999729
  10. [10] S.M. Webster, On the Local Solution of the Tangential Cauchy-Riemann Equations, Ann. Inst. H. Poincaré (ANL), Vol. 6, No. 3, 1989, pp. 167-182. Zbl0679.32019MR995503

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