Precise estimates of invariant distances on strongly pseudoconvex domains
Complex Variables
2025-06-11 v2
Abstract
Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carath\'eodory distance on -smooth strongly pseudoconvex domains. Similar estimates are also provided for the Bergman distance on strongly pseudoconvex domains with -boundary.
Keywords
Cite
@article{arxiv.2308.09143,
title = {Precise estimates of invariant distances on strongly pseudoconvex domains},
author = {Łukasz Kosiński and Nikolai Nikolov and Ahmed Yekta Ökten},
journal= {arXiv preprint arXiv:2308.09143},
year = {2025}
}