The pinched theorems of hypersurfaces with constant mean curvature in unit spheres

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- The pinched theorems of hypersurfaces with constant mean curvature in unit spheres
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 56, Issue 3, Pages: 71-77(2017)
- 作者机构：
  
  1. 湖北第二师范学院数学与经济学院,湖北,武汉,430205
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2017，
  
  Published Online：25 May 2017，
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WANG Fen, WU Xueling. The pinched theorems of hypersurfaces with constant mean curvature in unit spheres. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(3):71-77(2017)
DOI：

WANG Fen, WU Xueling. The pinched theorems of hypersurfaces with constant mean curvature in unit spheres. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(3):71-77(2017) DOI：

研究单位球面中具有常平均曲率的超曲面。分别在假设或不假设第二基本形式的长度的平方为常数的情形下，证明了两个重要的拼挤定理。这些结论是Cheng (1996年)和Xu等(2011年)相应结果的推广。

The constant mean curvature hypersurfaces in unit sphere S

n+1

are considered. Under the hypothesis that the second fundamental form is constant or not

two important pinched theorems

which generalized corresponding results of Cheng (1996) and Xu et al (2011)

are obtained.

常平均曲率Clifford环面陈省身猜想第二基本形式

constant mean curvatureClifford torusChern's conjecturethe second fundamental form

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