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Comparison of the Bergman and the Kobayashi metric. (English) Zbl 0429.32031

MSC:
32F45 Invariant metrics and pseudodistances in several complex variables
32T99 Pseudoconvex domains
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References:
[1] Bergman, St.: The kernel function and conformal mapping. In: Math. Surveys. V. 2nd ed. Providence 1970 · Zbl 0208.34302
[2] Diederich, K.: Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten. Math. Ann.187, 9-36 (1970) · Zbl 0189.36702 · doi:10.1007/BF01368157
[3] Graham, I.: Boundary behavior of the Caratheodory and Kobayashi metrics on strongly pseudoconvex domains in ? n with smooth boundary. Trans. Am. Math. Soc.207, 219-240 (1975) · Zbl 0305.32011
[4] Hahn, K.T.: Inequality between the Bergman metric and Caratheodory differential metric. Proc. Am. Math. Soc.68, 193-194 (1978) · Zbl 0376.32020
[5] Kobayashi, Sh.: Hyperbolic manifolds and holomorphic mappings. In: Pure and applied mathematics. Ser. 2. New York: Dekker 1970
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