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

Authors :
Nikolov, Nikolai
Ökten, Ahmed Yekta
Thomas, Pascal J.
Source :
Ann. Pol. Math. 132 (2024), 169-185
Publication Year :
2022

Abstract

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.

Details

Database :
arXiv
Journal :
Ann. Pol. Math. 132 (2024), 169-185
Publication Type :
Report
Accession number :
edsarx.2210.10007
Document Type :
Working Paper
Full Text :
https://doi.org/10.4064/ap230522-18-12