Local and global notions of visibility with respect to Kobayashi distance, a comparison

Autor: Nikolov, Nikolai, Ökten, Ahmed Yekta, Thomas, Pascal J.
Rok vydání: 2022
Předmět:
Zdroj: Ann. Pol. Math. 132 (2024), 169-185
Druh dokumentu: Working Paper
DOI: 10.4064/ap230522-18-12
Popis: In this note, we introduce the notion of visible boundary points with respect to Kobayashi distance for domains in complex euclidean space. Following the work of Sarkar, we obtain additive and multiplicative localization results about Kobayashi distance near visible boundary points. Then using the additive localization result, we show that visibility property with respect to Kobayashi distance is a local property of the boundary points and it does not depend on the domain.
Databáze: arXiv