119760 20241125101128.0 doi 10.1093/imrn/rnab273 sideral 128853 ART-2023-128853 eng Alonso-Gutierrez, David Universidad de Zaragoza (orcid)0000-0003-1256-3671 Sections of convex bodies in John''s and minimal surface area position 2023 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA/E48-20R info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.9 2023 MATHEMATICS 146 / 490 = 0.298 2023 Q2 T1 1.337 2023 Mathematics (miscellaneous) 2023 Q1 2.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Brazitikos, Silouanos 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 2023, 1 (2023), 243-297 Int. math. res. not. INTERNATIONAL MATHEMATICS RESEARCH NOTICES 1073-7928 511875 http://zaguan.unizar.es/record/119760/files/texto_completo.pdf Postprint 1577003 http://zaguan.unizar.es/record/119760/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:119760 articulos driver 2024-11-22-11:58:15 ARTICLE