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arXiv · 2411.13877

Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space

Tetsu Toyoda
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Abstract

We establish a family of inequalities that hold true on any $6$ points in any $\mathrm{CAT}(0)$ space. We prove that the validity of these inequalities does not follow from any properties of $5$-point subsets of $\mathrm{CAT}(0)$ spaces. In particular, the validity of these inequalities does not follow from the $\mathrm{CAT}(0)$ $4$-point condition.

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Tetsu Toyoda. 2025-03-16. Inequalities on Six Points in a $\mathrm{CAT}(0)$ Space. https://arxiv.org/abs/2411.13877

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