This is a preview of subscription content, log in via an institution to check access.
References
Alexander, H.: Holomorphic mappings from the ball and polydisc. Math. Ann.209, 249–256 (1974)
Bochner, S.: Analytic and meromorphic continuation by means of Greens' formula. Ann. of Math.44, 652–673 (1943)
Burns, D., Jr., Shnider, S.: Pseudoconformal geometry of hypersurfaces in ℂn+1. Proc. Nat. Acad. Sci. USA72, 2433–2436 (1975)
Burns, D., Jr., Shnider, S.: Real hypersurfaces in complex manifolds. Proc. Symp. Pure Math., Vol. 30, Part 2, pp. 141–167. Amer. Math. Soc. Transl. (Providence, R.I.) 1976
Cartan, E.: Sur la géometrie pseudo-conforme des hypersurfaces de deux variables complexes, I. Ann. Math. Pura Appl., (4)11, 17–90 (1932) (or Œuvres II, 2, pp. 1231–1304); II″, Ann. Scuola Norm. Sup. Pisa, (2)1, 333–354 (1932) (or Œuvres III, 2, pp. 1217–1238)
Cartan, E.: Les problèmes d'équivalence, Seminaire de Mathematiques, 4 année, 1936–37 (or Œuvres, III, 2, pp. 1311–1334)
Chern, S.S., Moser, J.: Real hypersurfaces in complex manifolds. Acta Math.133, 219–271 (1974)
Fefferman, C.: The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math.26, 1–65 (1974)
Golubitsky, M., Guillemin, V.: Stable Mappings and their singularities. Berlin, Heidelberg, New York: Springer 1973
Hamilton, R.: Deformation of complex structures on manifolds with boundary I, II, III. (Preprints)
Harvey, F. Reese, Lawson, H. Blaine, Jr.: On boundaries of complex analytic varieties, I. Ann. of Math.102, 223–290 (1975)
Kiremidjian, Garo K.: On deformations of compact complex manifolds with boundary. Pacific J. of Math.54, 177–190 (1974)
Poincaré, H.: Les fonctions analytiques de deux variables et la représentation conforme. Rend. Circ. Mat. Palermo,23, 185–220 (1907) (or Œuvres IV, pp. 244–289)
Segre, B.: Interno al problema di Poincaré della rappresentazione pseudoconforme. Rend. Acc. Lincei13, 676–683 (1931)
Segre, B.: Questioni geometriche legate colla teoria delle funzioni di due variabili complesse. Rend. Semin. Math. Roma 7 (1931)
Tanaka, N.: On the pseudo-conformal geometry of hypersurfaces of the space ofn complex variables. J. Math. Soc. Japan14, 297–429 (1962)
Tanaka, N.: On generalized graded Lie algebras and geometric structures, I. J. Math. Soc. Japan19, 215–254 (1976)
Webster, S.: Real Hypersurfaces in ℂn+1. Thesis, Berkeley, 1975
Webster, S.: Moser normal form at a non-umbilic point. (To appear)
Wells, R.O., Jr.: Function theory on differentiable submanifolds. Contribution to Analysis, pp. 407–441. Academic Press, 1974
Wells, R.O., Jr.: Deformations of strongly pseudoconvex domains in ℂ2. Proc. Symp. Pure Math., Vol.30, Part 2, 125–129 (1976)
Author information
Authors and Affiliations
Additional information
Research supported by NSF at Princeton University and the Institute for Advanced Study
Research supported by NSF at Rice University, by Universität Göttingen, by the Alexander von Humboldt Foundation and by the John Simon Guggenheim Memorial Foundation
Rights and permissions
About this article
Cite this article
Burns, D., Shnider, S. & Wells, R.O. Deformations of strictly pseudoconvex domains. Invent Math 46, 237–253 (1978). https://doi.org/10.1007/BF01390277
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01390277