| 李兴校,李青青.Rn+1中的线性Weingarten超曲面的刚性定理[J].数学年刊A辑,2017,38(3):295~302 |
| Rn+1中的线性Weingarten超曲面的刚性定理 |
| Rigidity Theorems of Linear Weingarten Hypersurfaces in \mathbbRn+1 |
| Received:April 03, 2015 Revised:June 03, 2016 |
| DOI：10.16205/j.cnki.cama.2017.0025 |
| 中文关键词: Linear Weingarten hypersurfaces, Normalized scalarcurvature, Mean curvature |
| 英文关键词:Linear Weingarten hypersurfaces, Normalized scalarcurvature, Mean curvature |
| 基金项目:本文受到国家自然科学基金(No.11671121,No.11171091,No,11371018)的资助. |
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| 中文摘要: |
| 利用熟知的 Cheng-Yau算子研究了欧氏空间$\mathbb{R}^{n+1}$中的
线性Weingarten超曲面, 主要结果是有关标准球面的两个刚性定理. |
| 英文摘要: |
| In this paper, by using the well-known Cheng-Yau operator, the authors study the linear Weingarten hypersurfaces in the Euclidean space $\mathbb{R}^{n+1}$. The main results are two rigidity
theorems for the standard spheres. |
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