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

页数：20

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