A Quantitative Guessing Geodesics Theorem
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917819773353984 |
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| author | Shlomovich, Talia |
| author_facet | Shlomovich, Talia |
| contents | We present a quantitative version of Guessing Geodesics, which is a well-known theorem that provides a set of conditions to prove hyperbolicity of a given metric space. This version adds to the existing result by determining an explicit estimate of the hyperbolicity constant. As a sample application of this result, we estimate the hyperbolicity constant for a particular hyperbolic model of $\mathrm{CAT}(0)$ spaces known as the curtain model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21525 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Quantitative Guessing Geodesics Theorem Shlomovich, Talia Metric Geometry Group Theory We present a quantitative version of Guessing Geodesics, which is a well-known theorem that provides a set of conditions to prove hyperbolicity of a given metric space. This version adds to the existing result by determining an explicit estimate of the hyperbolicity constant. As a sample application of this result, we estimate the hyperbolicity constant for a particular hyperbolic model of $\mathrm{CAT}(0)$ spaces known as the curtain model. |
| title | A Quantitative Guessing Geodesics Theorem |
| topic | Metric Geometry Group Theory |
| url | https://arxiv.org/abs/2410.21525 |