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- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
- Subject
- Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
- ISSN
- 1617-9447
- eISSN
- 2195-3724
- DOI
- 10.1007/s40315-018-0243-5
- Publisher site
- See Article on Publisher Site
Abstract
We prove that if a $${\mathcal {C}}^\infty $$ C ∞ -smooth bounded convex domain in $${\mathbb {C}}^n$$ C n contains a holomorphic disc in its boundary, then the domain is not Gromov hyperbolic for the Kobayashi distance. We also give examples of bounded smooth convex domains that are not strongly pseudoconvex but are Gromov hyperbolic.
Journal
Computational Methods and Function Theory – Springer Journals
Published: Apr 13, 2018