自展开式的刚性定理

IF 0.5 4区数学 Q3 MATHEMATICS

Manuscripta Mathematica Pub Date : 2024-06-03 DOI:10.1007/s00229-024-01573-z

Zhi Li, Guoxin Wei

引用次数: 0

摘要

在本文中，我们对欧几里得空间 \({\mathbb {R}}^{4}\) 中第二基本形式的常数平方规范 S 和常数 \(f_{3}\)的三维完全自展开器进行了完全分类、其中 \(h_{ij}\)是第二基本形式的分量，\(S=和 _{i,j}h^{2}_{ij}\)和 \(f_{3}=和 _{i,j,k}h_{ij}h_{jk}h_{ki}\)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A rigidity theorem for self-expanders

In this paper, we completely classify 3-dimensional complete self-expanders with constant squared norm S of the second fundamental form and constant \(f_{3}\) in the Euclidean space \({\mathbb {R}}^{4}\), where \(h_{ij}\) are components of the second fundamental form, \(S=\sum _{i,j}h^{2}_{ij}\) and \(f_{3}=\sum _{i,j,k}h_{ij}h_{jk}h_{ki}\).

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来源期刊

Manuscripta Mathematica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.