References
Bedford, E., Fornaess, J.E.: A construction of peak functions on weakly pseudoconvex domains Ann. Math.107, 555–568 (1978)
Bedford, E., Fornaess, J.E.: Biholomorphic maps of weakly pseudoconvex domains. Duke Math. J.45, 711–719 (1978)
Boutet de Monvel, L., Sjöstrand, J.: Sur la singularité de noyaux de Bergman et de Szegö. Soc. Math. France Astérisque34–35, 123–164 (1976)
Burns, D., Shnider, S., Wells, R.O.: Deformations of strictly pseudoconvex domains. Invent. Math.46, 237–253 (1978)
Diederich, K.: Some recent developments in the theory of the Bergman kernel function; a survey. Proc. Symp. Pure Math.30, 127–137 (1977)
Fefferman, Ch.: The Bergman kernel and biholomorphic mappings between strictly pseudoconvex domains. Invent. Math.26, 1–65 (1974)
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)
Hahn, K.T.: On completeness of the Bergman metric and its subordinate metric. Proc. Nat. Acad. Sci. USA 4294 (1973)
Henkin, G.M.: An analytic polyhedron is not holomorphically equivalent to a strictly pseudoconvex domain. Soviet Math. Dokl.14, 858–862 (1973)
Herbort, G.: Über die Geodätischen der Bergmanmetrik. Heft 26, 2. Schr. Math. Inst. Univ. Münster (1983)
Ohsawa, T.: A remark on completeness of the Bergman metric. Proc. Jpn. Acad.57, 238–240 (1981)
Serre, J.P.: Homologie singulière des espaces fibrés. Ann. Math.54, 425–505 (1951)
Thorbergson, G.: Geschlossene Geodätische auf nicht-kompakten Riemannschen Mannigfaltigkeiten. Bonn. Math. Schr.101 (1977)
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01458049