Abstract
In this paper, we obtain a more precise estimate of Catlin-type distance for smoothly bounded pseudoconvex domain of finite type in \({\mathbb {C}}^2\). As an application, we get an alternative proof of the Gromov hyperbolicity of this domain equipped with the Kobayashi distance.
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Acknowledgements
The authors would like to thank Professor Jinsong Liu for many precious suggestions. We would also like to thank the referee for a careful reading and valuable comments.
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H. Li is supported by NSFC (Grant Nos. 12226318, 12226334).
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Li, H., Pu, X. & Wang, L. The Kobayashi Metric and Gromov Hyperbolicity on Pseudoconvex Domains of Finite Type in \({\mathbb {C}}^2\). J Geom Anal 34, 10 (2024). https://doi.org/10.1007/s12220-023-01450-3
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DOI: https://doi.org/10.1007/s12220-023-01450-3