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arXiv · 2210.13237

On the higher order Kobayashi pseudometric

Seok Ban·Florian Bertrand·Amir Jaber Chehayeb·Adam Salha·Walid Tabbara
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Abstract

We study the higher order Kobayashi pseudometric introduced by Yu. We first obtain estimates of this pseudometric in a special pseudoconvex domain in $\C^3$. We then study the structure of the higher order extremal discs and their connection with the standard extremal discs for the Kobayashi metric.

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Seok Ban, Florian Bertrand, Amir Jaber Chehayeb, Adam Salha, Walid Tabbara. 2022-10-24. On the higher order Kobayashi pseudometric. https://arxiv.org/abs/2210.13237

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