The Kobayashi and Bergman metrics on generalized Thullen domains

Hahn, K. T.; Pflug, P.

doi:10.1090/S0002-9939-1988-0958068-4

The Kobayashi and Bergman metrics on generalized Thullen domains
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by K. T. Hahn and P. Pflug

Proc. Amer. Math. Soc. 104 (1988), 207-214

DOI: https://doi.org/10.1090/S0002-9939-1988-0958068-4

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Abstract:

A comparison theorem of the Kobayashi metric and the Bergman metric is obtained on generalized Thullen domains in ${{\mathbf {C}}^2}$. This theorem is then used to obtain a lower estimate for the Kobayashi metric. It is noted that the lower estimate obtained is best possible.

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