STABILITY RESULTS FOR SECTIONS OF CONVEX BODIES

被引：2
|
作者：
Stephen, M. [1 ]
Yaskin, V. [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 369卷 / 09期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Cross-section body; intersection body; stability; MAXIMAL SECTIONS;
D O I：
10.1090/tran/6854
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown by Makai, Martini, and Odor that a convex body K, all of whose maximal sections pass through the origin, must be origin-symmetric. We prove a stability version of this result. We also discuss a theorem of Koldob-sky and Shane about determination of convex bodies by fractional derivatives of the parallel section function and establish the corresponding stability result.
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页码：6239 / 6261
页数：23
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