A complete system of inequalities for the diameter, in-, and circumradius in the 3-dimensional Euclidean space
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911139443507200 |
|---|---|
| author | Brandenberg, René Merino, Bernardo González Runge, Mia |
| author_facet | Brandenberg, René Merino, Bernardo González Runge, Mia |
| contents | We present a complete system of inequalities for the inradius, circumradius, and diameter in the $3$-dimensional Euclidean space. To do so, we prove quasiconcavity of the inradius evaluated over $n$-simplices with a common facet independently of the norm/gauge under consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05028 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A complete system of inequalities for the diameter, in-, and circumradius in the 3-dimensional Euclidean space Brandenberg, René Merino, Bernardo González Runge, Mia Metric Geometry We present a complete system of inequalities for the inradius, circumradius, and diameter in the $3$-dimensional Euclidean space. To do so, we prove quasiconcavity of the inradius evaluated over $n$-simplices with a common facet independently of the norm/gauge under consideration. |
| title | A complete system of inequalities for the diameter, in-, and circumradius in the 3-dimensional Euclidean space |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2509.05028 |