A GEHRING-HAYMAN INEQUALITY FOR STRONGLY PSEUDOCONVEX DOMAINS
Résumé
Abstract We prove that if $D$ is a strongly pseudoconvex domain with $\mathcal C^{2, \alpha }$-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.
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