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arxiv: 0911.2263 · v1 · submitted 2009-11-11 · 🧮 math.CV

Asymptotic behavior of the Kobayashi metric in the normal direction

classification 🧮 math.CV
keywords directionkobayashimetricnormalasymptoticbehaviorblowboundary
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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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