Chinese Quarterly Journal of Mathematics ›› 2022, Vol. 37 ›› Issue (2): 178-188.doi: 10.13371/j.cnki.chin.q.j.m.2022.02.007

Previous Articles     Next Articles

Volume Inequalities for Sections and Projections of Asymmetric Convex Bodies

  

  1. 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).

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

CLC Number: