Lower estimates of the Kobayashi distance and limits of complex geodesics
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866916432557637632 |
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| author | Kosiński, Łukasz Nikolov, Nikolai |
| author_facet | Kosiński, Łukasz Nikolov, Nikolai |
| contents | It is proved for a strongly pseudoconvex domain $D$ in $\Bbb C^d$ with $\mathcal C^{2,α}$-smooth boundary that any complex geodesic through every two close points of $D$ sufficiently close to $\partial D$ and whose difference is non-tangential to $\partial D$ intersect a compact subset of $D$ that depends only on the rate of non-tangentiality. As an application, a lower bound for the Kobayashi distance is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_13239 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Lower estimates of the Kobayashi distance and limits of complex geodesics Kosiński, Łukasz Nikolov, Nikolai Complex Variables 32F45 It is proved for a strongly pseudoconvex domain $D$ in $\Bbb C^d$ with $\mathcal C^{2,α}$-smooth boundary that any complex geodesic through every two close points of $D$ sufficiently close to $\partial D$ and whose difference is non-tangential to $\partial D$ intersect a compact subset of $D$ that depends only on the rate of non-tangentiality. As an application, a lower bound for the Kobayashi distance is obtained. |
| title | Lower estimates of the Kobayashi distance and limits of complex geodesics |
| topic | Complex Variables 32F45 |
| url | https://arxiv.org/abs/2208.13239 |