On bodies in Rn with congruent sections by cones or non-central planes

被引：0
|
作者：
Li, Junling [1 ]
Zhang, Ning [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, 1037 Luoyu Rd, Wuhan 430074, Hubei, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Convex body; Congruent sections; Multiple-valued function; Unique determination; PROJECTIONS;
D O I：
10.1016/j.jfa.2024.110349
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let K and L be two convex bodies in Rn, n >= 3 such that their sections by cones {x is an element of Rn : x center dot xi = t|x|} or non -central planes with a fixed distance from the origin are directly congruent. We prove that if their boundaries are of class C2, then K and L coincide. (c) 2024 Elsevier Inc. All rights reserved.
引用
收藏
页数：20
相关论文
共 50 条
12345