General Blaschke Bodies and the Asymmetric Negative Solutions of Shephard Problem
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Published:2019-07-10
Issue:7
Volume:7
Page:610
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ISSN:2227-7390
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Container-title:Mathematics
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language:en
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Short-container-title:Mathematics
Author:
Li Tian,Wang Weidong,Mao Yaping
Abstract
In this article, based on the Blaschke combination of convex bodies, we define the general Blaschke bodies and obtain the extremal values of their volume and affine surface area. Further, we study the asymmetric negative solutions of the Shephard problem for the projection bodies.
Funder
National Natural Science Foundation of China
The Science Found of Qinghai Province
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference47 articles.
1. Geometric Tomography;Gardner,2006
2. Convex Bodies: The Brunn–Minkowski Theory;Schneider,2014
3. A class of convex bodies
4. Projection bodies;Bourgain,1988
5. Volumes of projection bodies
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