✦ LIBER ✦

Asymptotic Behavior of the Kobayashi Metric on Certain Infinite-Type Pseudoconvex Domains in C2

✍ Scribed by Sunhong Lee

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 181 KB
Volume: 256
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7307

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✦ Synopsis

We study the asymptotic behavior of the Kobayashi metric near boundary points of the exponentially-flat infinite type in bounded domains in ‫ރ‬ 2 . These depend upon the tangency of the streams of reference points to the boundary. This is a generalization of Graham's theorem on the asymptotic behavior of the Caratheodory and Kobayashi metrics of bounded strongly pseudoconvex domains ín ‫ރ‬ n .