Pál's isominwidth inequality for ball convex bodies in planes of constant curvature
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910029870792704 |
|---|---|
| author | Fodor, Ferenc Robock, Nathan Sagmeister, Ádám |
| author_facet | Fodor, Ferenc Robock, Nathan Sagmeister, Ádám |
| contents | Pál's classical isominwidth inequality states that the regular triangle has minimal area among plane convex bodies of minimal width $w$. A similar result is the Blaschke--Lebesgue inequality that states that Reuleaux triangles minimize the area among bodies of constant width $w$ in the plane. In this paper, we connect these two problems by solving the isominwidth problem for $r$-ball convex bodies in the Euclidean, hyperbolic and spherical planes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19300 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pál's isominwidth inequality for ball convex bodies in planes of constant curvature Fodor, Ferenc Robock, Nathan Sagmeister, Ádám Metric Geometry 52A40, 51M09, 51M10, 52A55, 52A10 Pál's classical isominwidth inequality states that the regular triangle has minimal area among plane convex bodies of minimal width $w$. A similar result is the Blaschke--Lebesgue inequality that states that Reuleaux triangles minimize the area among bodies of constant width $w$ in the plane. In this paper, we connect these two problems by solving the isominwidth problem for $r$-ball convex bodies in the Euclidean, hyperbolic and spherical planes. |
| title | Pál's isominwidth inequality for ball convex bodies in planes of constant curvature |
| topic | Metric Geometry 52A40, 51M09, 51M10, 52A55, 52A10 |
| url | https://arxiv.org/abs/2602.19300 |