A Gehring-Hayman inequality for strongly pseudoconvex domains
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911445386526720 |
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| author | Kosiński, Łukasz Nikolov, Nikolai Thomas, Pascal J. |
| author_facet | Kosiński, Łukasz Nikolov, Nikolai Thomas, Pascal J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_04071 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Gehring-Hayman inequality for strongly pseudoconvex domains Kosiński, Łukasz Nikolov, Nikolai Thomas, Pascal J. Complex Variables 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. |
| title | A Gehring-Hayman inequality for strongly pseudoconvex domains |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2303.04071 |