A Gehring-Hayman inequality for strongly pseudoconvex domains
Complex Variables
2026-02-16 v2
Abstract
We prove that in a strongly pseudoconvex domain with smooth boundary, then the length of a geodesic for the Kobayashi-Royden infinitesimal metric between two points is bounded by a constant multiple of the Euclidean distance between the points.
Keywords
Cite
@article{arxiv.2303.04071,
title = {A Gehring-Hayman inequality for strongly pseudoconvex domains},
author = {Łukasz Kosiński and Nikolai Nikolov and Pascal J. Thomas},
journal= {arXiv preprint arXiv:2303.04071},
year = {2026}
}