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Local and global notions of visibility with respect to Kobayashi distance, a comparison
- 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.
- Subjects :
- Mathematics - Complex Variables
Mathematics - Metric Geometry
Subjects
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