Skip to main content
SpringerLink
Log in

Invariant forms on complex manifolds with application to holomorphic mappings

  • 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. Ahlfors, L.: Conformal invariants: topics in geometric function theory. New York: McGraw-Hill 1973

    Google Scholar 

  2. Bedford, E.: Holomorphic mapping of products of annuli in ℂn. Pac. J. Math.87, 271–281 (1980)

    Google Scholar 

  3. Bedford, E., Taylor, B.A.: Variational properties of the complex Monge-Ampère equation. II. Intrinsic norms. Am. J. Math.101, 1131–1166 (1979)

    Google Scholar 

  4. Blatter, C.: Über Extremallängen auf geschlossenen Flächen. Comment. Math. Helv.35, 153–168 (1961)

    Google Scholar 

  5. Chern, S.-S., Levine, H., Nirenberg, L.: Intrinsic norms on a complex manifold, global analysis. Papers in honor of K. Kodaira, pp. 119–139. Princeton, NJ: Princeton University Press 1968

    Google Scholar 

  6. Fefferman, C.: The Bergman kernel and biholomorphic mappings of pseudo-convex domains. Invent. Math.36, 1–66 (1974)

    Google Scholar 

  7. Hörmander, L.: Introduction to complex analysis in several variables. Amsterdam: North-Holland 1973

    Google Scholar 

  8. Kerzman, N.: The Bergman kernel function: differentiability at the boundary. Math. Ann.195, 149–158 (1972)

    Google Scholar 

  9. Kerzman, N.: Singular integrals in complex analysis. Proc. Symp. Pure Math.35 Part 2, 3–41 (1979)

    Google Scholar 

  10. Kobayashi, S.: Geometry of bounded domains. Trans. Am. Math. Soc.93, 267–290 (1959)

    Google Scholar 

  11. Kohn, J.: Global regularity for\(\bar \partial \) on weakly pseudoconvex manifolds. Trans. Am. Math. Soc.181, 273–292 (1973)

    Google Scholar 

  12. Narasimhan, R.: On the homology groups of Stein spaces. Invent. Math.2, 377–385 (1967)

    Google Scholar 

  13. Ohtsuka, M.: Dirichlet problem, extremal length and prime ends. New York: Van Nostrand 1970

    Google Scholar 

  14. Phong, D.H., Stein, E.M.: Estimates for the Bergman and Szegö projections on strongly pseudoconvex domains. Duke Math. J.44, 695–704 (1977)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47405, Bloomington, IN, USA

    Eric Bedford

Authors
  1. Eric Bedford
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bedford, E. Invariant forms on complex manifolds with application to holomorphic mappings. Math. Ann. 265, 377–397 (1983). https://doi.org/10.1007/BF01456024

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456024

Keywords

Search

Navigation