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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Kobayashi and Bergman metrics on generalized Thullen domains


Authors: K. T. Hahn and P. Pflug
Journal: Proc. Amer. Math. Soc. 104 (1988), 207-214
MSC: Primary 32H15; Secondary 32H20
MathSciNet review: 958068
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958068-4
PII: S 0002-9939(1988)0958068-4
Article copyright: © Copyright 1988 American Mathematical Society