The Rigidity of Hypersurfaces in Euclidean Space

被引：0

作者：

Li, Chunhe ^{[1
]}

Xu, Yanyan ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2019年 / 40卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Global rigidity; Infinitesimal rigidity; Energy method; Maximal principle;

D O I：

10.1007/s11401-019-0143-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, the rigidity of hypersurfaces in Euclidean space is revisited. The Darboux equation is highlighted and two new proofs of the rigidity are given via energy method and maximal principle, respectively.

引用

页码：439 / 456

页数：18

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