Sections of Convex Bodies in John’s and Minimal Surface Area Position

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab273