A Gehring-Hayman inequality for strongly pseudoconvex domains
arXiv:2303.04071 · doi:10.1093/imrn/rnae017
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.