Strong localizations of the Kobayashi distance
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- by Nikolai Nikolov and Ahmed Yekta Ökten;
- Proc. Amer. Math. Soc. 152 (2024), 2439-2448
- DOI: https://doi.org/10.1090/proc/16762
- Published electronically: April 12, 2024
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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.References
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Bibliographic Information
- Nikolai Nikolov
- Affiliation: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Block 8, 1113 Sofia, Bulgaria; and Faculty of Information Sciences, State University of Library Studies, and Information Technologies, 69A, Shipchenski prohod Str., 1574 Sofia, Bulgaria
- MR Author ID: 332842
- Email: nik@math.bas.bg
- Ahmed Yekta Ökten
- Affiliation: Institut de Mathématiques de Toulouse, UMR5219, Université de Toulouse, CNRS, UPS, F-31062 Toulouse Cedex 9, France
- ORCID: 0000-0002-2550-3080
- Email: ahmed_yekta.okten@math.univ-toulouse.fr
- Received by editor(s): December 1, 2022
- Received by editor(s) in revised form: August 15, 2023
- Published electronically: April 12, 2024
- Additional Notes: The first author was partially supported by the Bulgarian National Science Fund, Ministry of Education and Science of Bulgaria under contract KP-06-N52/3.
The second author received support from the University Research School EUR-MINT (State support managed by the National Research Agency for Future Investments program bearing the reference ANR-18-EURE-0023). - Communicated by: Filippo Bracci
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 2439-2448
- MSC (2020): Primary 32F45
- DOI: https://doi.org/10.1090/proc/16762
- MathSciNet review: 4741240