非对称凸体的截面与投影体积不等式

doi:10.13371/j.cnki.chin.q.j.m.2022.02.007

数学季刊 ›› 2022, Vol. 37 ›› Issue (2): 178-188.doi: 10.13371/j.cnki.chin.q.j.m.2022.02.007

非对称凸体的截面与投影体积不等式

1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China; 2. School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China

收稿日期:2021-11-22 出版日期:2022-06-30 发布日期:2022-06-30
通讯作者: CAO Zi-xin (1995-), famale, native of Xinyang, Henan, postgraduate student of Henan Polytechnic University, engages in convex geometrical analysis; E-mail:15738295790@163.com
作者简介: CAO Zi-xin (1995-), famale, native of Xinyang, Henan, postgraduate student of Henan Polytechnic University, engages in convex geometrical analysis; Li Ai-jun (1972-), male, native of Jiaozuo, Henan, professor of Zhejiang University of Science and Technology, engages in convex geometrical analysis.
基金资助:
The second author was supported by Zhejiang Provincial Natural Science Foundation of China (Grant No. LY22A010001).

Volume Inequalities for Sections and Projections of Asymmetric Convex Bodies

1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China; 2. School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China

Received:2021-11-22 Online:2022-06-30 Published:2022-06-30
Contact: CAO Zi-xin (1995-), famale, native of Xinyang, Henan, postgraduate student of Henan Polytechnic University, engages in convex geometrical analysis; E-mail:15738295790@163.com
About author: CAO Zi-xin (1995-), famale, native of Xinyang, Henan, postgraduate student of Henan Polytechnic University, engages in convex geometrical analysis; Li Ai-jun (1972-), male, native of Jiaozuo, Henan, professor of Zhejiang University of Science and Technology, engages in convex geometrical analysis.
Supported by:
The second author was supported by Zhejiang Provincial Natural Science Foundation of China (Grant No. LY22A010001).

摘要/Abstract

摘要： In this paper, we establish volume inequalities for k-dimensional sections and projections of convex bodies (not necessarily symmetric) and their polars in a more general position than John’s position.

关键词: Section, Projection, Asymmetric, Brascamp-Lieb inequality

Abstract: In this paper, we establish volume inequalities for k-dimensional sections and projections of convex bodies (not necessarily symmetric) and their polars in a more general position than John’s position.

Key words: Section, Projection, Asymmetric, Brascamp-Lieb inequality

中图分类号:

O177.2

曹子昕, 李爱军. 非对称凸体的截面与投影体积不等式[J]. 数学季刊, 2022, 37(2): 178-188.

CAO Zi-xin, Li Ai-jun . Volume Inequalities for Sections and Projections of Asymmetric Convex Bodies[J]. Chinese Quarterly Journal of Mathematics, 2022, 37(2): 178-188.

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非对称凸体的截面与投影体积不等式

Volume Inequalities for Sections and Projections of Asymmetric Convex Bodies

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