Asymptotic behavior of the Kobayashi metric in the normal direction

Details Asymptotic behavior of the Kobayashi metric in the normal direction Asymptotic behavior of the Kobayashi metric in the normal direction

2009-11-11

arxiv.org/abs/0911.2263v1

Math. Z. 261 (2009), no. 2, 399--408

Mathematics

Complex Variables

10 pages

Scientific paper

In this paper, we construct a pseudoconvex domain in $\mathbb C^3$ where the
Kobayashi metric does not blow up at a rate of one over distance to the
boundary in the normal direction.

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