A note concerning frames and geometric inequalities

Fuente: arXiv
Enregistré dans:
Détails bibliographiques
Auteurs principaux: Ledford, Jeff, Rivera-Ayala, Kevin, Schroeder, Emma
Format: Preprint
Publié: 2025
Sujets:
Accès en ligne:
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
_version_ 1866915483017543680
author Ledford, Jeff
Rivera-Ayala, Kevin
Schroeder, Emma
author_facet Ledford, Jeff
Rivera-Ayala, Kevin
Schroeder, Emma
contents One may associate several frames to a given polytope, such as its collection of vertices, edges, or facet normal vectors. In this note, we use these frames to generate geometric inequalities for the simplex in $\mathbb{R}^d$ and polytopes with $d+2$ vertices in dimension 2 and 3.
format Preprint
id arxiv_https___arxiv_org_abs_2509_05611
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A note concerning frames and geometric inequalities
Ledford, Jeff
Rivera-Ayala, Kevin
Schroeder, Emma
Metric Geometry
41A99, 52B10, 52B11, 52B60
One may associate several frames to a given polytope, such as its collection of vertices, edges, or facet normal vectors. In this note, we use these frames to generate geometric inequalities for the simplex in $\mathbb{R}^d$ and polytopes with $d+2$ vertices in dimension 2 and 3.
title A note concerning frames and geometric inequalities
topic Metric Geometry
41A99, 52B10, 52B11, 52B60
url https://arxiv.org/abs/2509.05611