奇维单位球超曲面的刚性定理$\mathbb S^{2n+1}(1)$

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2023-01-01 DOI:10.4064/cm8966-7-2023

Mingzhu Gao, Zejun Hu, Cheng Xing

引用次数: 0

摘要

我们建立了奇维单位球$\mathbb S^{2n+1}(1)$上具有消失的Reeb函数的闭超曲面的最优积分不等式，该函数涉及形状算子$A$和接触向量场$U$。积分不等式是op

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A rigidity theorem for hypersurfaces of the odd-dimensional unit sphere $\mathbb S^{2n+1}(1)$

We establish an optimal integral inequality for closed hypersurfaces in the odd-dimensional unit sphere $\mathbb S^{2n+1}(1)$ with vanishing Reeb function that involves the shape operator $A$ and the contact vector field $U$. The integral inequality is op

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.