Gromov hyperbolization of unbounded noncomplete spaces and Hamenstädt metric
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866913302776381440 |
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| author | Zhou, Qingshan |
| author_facet | Zhou, Qingshan |
| contents | In this paper, we investigate Gromov hyperbolizations of unbounded locally complete and incomplete metric spaces associated with three hyperbolic type metrics: the hyperbolization metric introduced by Ibragimov, the distance ratio metric, and the quasihyperbolic metric. As an application, we obtain a Gromov hyperbolic characterization of unbounded uniform domains in Banach spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_01406 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Gromov hyperbolization of unbounded noncomplete spaces and Hamenstädt metric Zhou, Qingshan Complex Variables Metric Geometry Primary: 30C65, Secondary: 30L10 In this paper, we investigate Gromov hyperbolizations of unbounded locally complete and incomplete metric spaces associated with three hyperbolic type metrics: the hyperbolization metric introduced by Ibragimov, the distance ratio metric, and the quasihyperbolic metric. As an application, we obtain a Gromov hyperbolic characterization of unbounded uniform domains in Banach spaces. |
| title | Gromov hyperbolization of unbounded noncomplete spaces and Hamenstädt metric |
| topic | Complex Variables Metric Geometry Primary: 30C65, Secondary: 30L10 |
| url | https://arxiv.org/abs/2008.01406 |