Local and global notions of visibility with respect to Kobayashi distance: a comparison
Volume 132 / 2024
Annales Polonici Mathematici 132 (2024), 169-185
MSC: Primary 32F45
DOI: 10.4064/ap230522-18-12
Published online: 18 March 2024
Abstract
We introduce the notion of visible boundary points with respect to Kobayashi distance for domains in $\mathbb C^n$. Following the work of A. D. Sarkar, we obtain additive and multiplicative localization results for Kobayashi distance near visible boundary points. Then using the additive localization result, we show that visibility with respect to Kobayashi distance is a local property of the boundary points and that it does not depend on the domain.
