Strong localizations of the Kobayashi distance
Complex Variables
2024-05-28 v2
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.
Cite
@article{arxiv.2211.15488,
title = {Strong localizations of the Kobayashi distance},
author = {Nikolai Nikolov and Ahmed Yekta Ökten},
journal= {arXiv preprint arXiv:2211.15488},
year = {2024}
}
Comments
to appear in Proc. Amer. Math. Soc