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arXiv · 2303.04071

A Gehring-Hayman inequality for strongly pseudoconvex domains

Łukasz Kosiński·Nikolai Nikolov·Pascal J. Thomas
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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.

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Łukasz Kosiński, Nikolai Nikolov, Pascal J. Thomas. 2023-03-07. A Gehring-Hayman inequality for strongly pseudoconvex domains. https://doi.org/10.1093/imrn%2Frnae017

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