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The Kobayashi and Bergman Metrics on Generalized Thullen Domains

K. T. Hahn and P. Pflug
Proceedings of the American Mathematical Society
Vol. 104, No. 1 (Sep., 1988), pp. 207-214
DOI: 10.2307/2047487
Stable URL: http://www.jstor.org/stable/2047487
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Kobayashi and Bergman Metrics on Generalized Thullen Domains
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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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