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A Gehring-Hayman inequality for strongly pseudoconvex domains

Published 7 Mar 2023 in math.CV | (2303.04071v2)

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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