Sections of convex bodies in John''s and minimal surface area position

Alonso-Gutierrez, David (Universidad de Zaragoza) ; Brazitikos, Silouanos

Resumen: We prove several estimates for the volume, the mean width, and the value of the Wills functional of sections of convex bodies in John''s position, as well as for their polar bodies. These estimates extend some well-known results for convex bodies in John''s position to the case of lower-dimensional sections, which had mainly been studied for the cube and the regular simplex. Some estimates for centrally symmetric convex bodies in minimal surface area position are also obtained.

Idioma: Inglés

DOI: 10.1093/imrn/rnab273

Año: 2023

Publicado en: INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2023, 1 (2023), 243-297
ISSN: 1073-7928

Factor impacto JCR: 0.9 (2023)

Categ. JCR: MATHEMATICS rank: 146 / 490 = 0.298 (2023) - Q2 - T1

Factor impacto CITESCORE: 2.0 - Mathematics (all) (Q2)

Factor impacto SCIMAGO: 1.337 - Mathematics (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)