doi:10.1093/imrn/rnab273engAlonso-Gutierrez, DavidBrazitikos, SilouanosSections of convex bodies in John''s and minimal surface area positionART-2023-128853We 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.2023http://zaguan.unizar.es/record/11976010.1093/imrn/rnab273http://zaguan.unizar.es/record/119760oai:zaguan.unizar.es:119760info:eu-repo/grantAgreement/ES/DGA/E48-20Rinfo:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2023, 1 (2023), 243-297All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess