Detecting symmetry in star bodies

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:395

Article

Ryabogin, D.¹  Yaskin, V.² 

[1] Kent State Univ, Dept Math, Kent, OH 44242 USA

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

关键词: Convex bodies;    Star bodies;    Origin-symmetry;    Cones;   

DOI  :  10.1016/j.jmaa.2012.05.022

来源: Elsevier

【 摘 要 】

We use Fourier transform techniques to prove a result on detecting symmetry in convex and star bodies with the help of conical sections. Our methods also allow us to give a new proof of the well-known theorem of Makai, Martini and Odor about maximal hyperplane sections passing through the same point. Published by Elsevier Inc.

【 授权许可】

Free