Skip to main content
SpringerLink
Log in

Deformations of complex manifolds with fixed boundary structure

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Andreotti, A., Hill, C.D.: E. E. Levi convexity and the Hans Lewy problem, I, II. Ann. Scuola Norm. Sup. Pisa26, 325–363, 747–806 (1972)

    Google Scholar 

  2. Burns, D., Jr., Shnider, S., Wells, R.O., Jr.: Deformations of strongly pseudo-convex domains, (to appear)

  3. Folland, G.B., Kohn, J.J.: The Neumann problem for the Cauchy-Riemann complex. Ann. of Math. Studies75. Princeton, NJ: Princeton University Press 1972

    Google Scholar 

  4. Forster, O., Knorr, K.: Ein neuer Beweis des Satzes von Kodaira-Nirenberg-Spencer. Math. Z.139, 257–291 (1974)

    Google Scholar 

  5. Hamilton, R.: Deformation of complex structures on manifolds with boundary, I, II, III. (to appear)

  6. Harvey, F.R., Lawson, H.B. Jr.: On boundaries of complex analytic varieties, I. Ann. of Math.102, 223–290 (1975)

    Google Scholar 

  7. Kiremidjian, G.K.: On complex structures with a fixed induced CR structure (to appear)

  8. Kodaira, K., Nirenberg, L., Spencer, D.C.: On the existence of deformations of complex analytic structure. Ann. of Math.68, 450–459 (1958)

    Google Scholar 

  9. Kodaira, K., Spencer, D.C.: On deformations of complex analytic structures, I, II. Ann. of Math.67, 328–466 (1958)

    Google Scholar 

  10. Kodaira, K., Spencer, D.C.: A theorem of completeness for complex analytic fibre spaces. Acta Math.100, 145–166 (1959)

    Google Scholar 

  11. Kuranishi, M.: Deformations of compact complex manifolds. Montréal: Les Presses de l'Université de Montréal 1971

    Google Scholar 

  12. Morrow, J., Kodaira, K.: Complex manifolds. New York: Holt, Rinehart and Winston 1971

    Google Scholar 

  13. Stein, E.M.: Boundary behavior of holomorphic functions of several complex variables. Mathematical Notes 11. Princeton, NJ: Princeton University Press 1972

    Google Scholar 

Download references

Author information

Author notes

  1. Nancy K. Stanton

    Present address: Columbia University, 10027, New York, N.Y.

Authors and Affiliations

  1. University of California, 94720, Berkeley, Cal., USA

    Nancy K. Stanton

Authors
  1. Nancy K. Stanton
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported in part by the National Science Foundation, Grant MPS74-01477

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stanton, N.K. Deformations of complex manifolds with fixed boundary structure. Math. Ann. 230, 227–243 (1977). https://doi.org/10.1007/BF01367578

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01367578

Keywords

Search

Navigation