Strong localizations of the Kobayashi distance

Nikolov, Nikolai; Ökten, Ahmed Yekta

doi:10.1090/proc/16762

Strong localizations of the Kobayashi distance
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by Nikolai Nikolov and Ahmed Yekta Ökten

Proc. Amer. Math. Soc.

DOI: https://doi.org/10.1090/proc/16762

Published electronically: April 12, 2024

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Abstract:

Recently, the visibility property of Kobayashi (almost) geodesics has been used to provide localizations of the Kobayashi distance. In this note, we provide sufficient growth conditions for the Kobayashi distance to obtain new strong multiplicative and additive localization results. Curiously, the conditions we provide are deeply related to the behaviour of the Kobayashi geodesics.

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