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A Gehring-Hayman inequality for strongly pseudoconvex domains - MaRDI portal

A Gehring-Hayman inequality for strongly pseudoconvex domains (Q6624383)

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scientific article; zbMATH DE number 7931987
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A Gehring-Hayman inequality for strongly pseudoconvex domains
scientific article; zbMATH DE number 7931987

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    A Gehring-Hayman inequality for strongly pseudoconvex domains (English)
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    25 October 2024
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    Let \(D\) be a strongly pseudoconvex domain with \(C^{2,\alpha}\)-smooth boundary. The authors prove that the length of a geodesic for the Kobayashi-Royden metric between two points in \(D\) is bounded by a constant multiple of the Euclidean distance between the points.
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    strongly pseudoconvex domains
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    geodesics
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    Kobayashi-Royden pseudometric
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