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arXiv · 2410.21525

A Quantitative Guessing Geodesics Theorem

Talia Shlomovich
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Abstract

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.

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Talia Shlomovich. 2024-10-28. A Quantitative Guessing Geodesics Theorem. https://doi.org/10.1142/s1793525326500470

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