Skip to main content
Log in

On the geodesics of the Bergman metric

  • 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

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

Instant access to the full article PDF.

References

  1. Bedford, E., Fornaess, J.E.: A construction of peak functions on weakly pseudoconvex domains Ann. Math.107, 555–568 (1978)

    Google Scholar 

  2. Bedford, E., Fornaess, J.E.: Biholomorphic maps of weakly pseudoconvex domains. Duke Math. J.45, 711–719 (1978)

    Google Scholar 

  3. Boutet de Monvel, L., Sjöstrand, J.: Sur la singularité de noyaux de Bergman et de Szegö. Soc. Math. France Astérisque34–35, 123–164 (1976)

    Google Scholar 

  4. Burns, D., Shnider, S., Wells, R.O.: Deformations of strictly pseudoconvex domains. Invent. Math.46, 237–253 (1978)

    Google Scholar 

  5. Diederich, K.: Some recent developments in the theory of the Bergman kernel function; a survey. Proc. Symp. Pure Math.30, 127–137 (1977)

    Google Scholar 

  6. Fefferman, Ch.: The Bergman kernel and biholomorphic mappings between strictly pseudoconvex domains. Invent. Math.26, 1–65 (1974)

    Google Scholar 

  7. Greene, R.E., Krantz, S.G.: Deformations of complex structures, estimates for the\(\bar \partial\)-equation, and stability of the Bergman kernel. Adv. Math.43, 1 (1982)

    Google Scholar 

  8. Hahn, K.T.: On completeness of the Bergman metric and its subordinate metric. Proc. Nat. Acad. Sci. USA 4294 (1973)

  9. Henkin, G.M.: An analytic polyhedron is not holomorphically equivalent to a strictly pseudoconvex domain. Soviet Math. Dokl.14, 858–862 (1973)

    Google Scholar 

  10. Herbort, G.: Über die Geodätischen der Bergmanmetrik. Heft 26, 2. Schr. Math. Inst. Univ. Münster (1983)

  11. Ohsawa, T.: A remark on completeness of the Bergman metric. Proc. Jpn. Acad.57, 238–240 (1981)

    Google Scholar 

  12. Serre, J.P.: Homologie singulière des espaces fibrés. Ann. Math.54, 425–505 (1951)

    Google Scholar 

  13. Thorbergson, G.: Geschlossene Geodätische auf nicht-kompakten Riemannschen Mannigfaltigkeiten. Bonn. Math. Schr.101 (1977)

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Herbort, G. On the geodesics of the Bergman metric. Math. Ann. 264, 39–51 (1983). https://doi.org/10.1007/BF01458049

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458049

Navigation