Comparison of the Bergman and the Kobayashi metric

Author:

Diederich Klas,Fornaess John Erik

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference5 articles.

1. Bergman, St.: The kernel function and conformal mapping. In: Math. Surveys. V. 2nd ed. Providence 1970

2. Diederich, K.: Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten. Math. Ann.187, 9–36 (1970)

3. Graham, I.: Boundary behavior of the Caratheodory and Kobayashi metrics on strongly pseudoconvex domains in ℂ n with smooth boundary. Trans. Am. Math. Soc.207, 219–240 (1975)

4. Hahn, K.T.: Inequality between the Bergman metric and Caratheodory differential metric. Proc. Am. Math. Soc.68, 193–194 (1978)

5. Kobayashi, Sh.: Hyperbolic manifolds and holomorphic mappings. In: Pure and applied mathematics. Ser. 2. New York: Dekker 1970

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