Inequalities on Six Points in a CAT (0) Space
Abstract We establish a family of inequalities that hold true on any $6$ points in any $\textrm{CAT}(0)$ space. We prove that the validity of these inequalities does not follow from any properties of $5$-point subsets of $\textrm{CAT}(0)$ spaces. In particular, the validity of these inequalities does not follow from the $\textrm{CAT}(0)$$4$-point condition.
Authors
- Tetsu Toyoda (ORCID: https://orcid.org/0000-0001-6495-5584)
Institutions
- Kogakuin University (JP)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1093/imrn/rnaf060
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00