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单位球面中具有常平均曲率超曲面的拼挤定理

The pinched theorems of hypersurfaces with constant mean curvature in unit spheres
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摘要 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 Sn+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.
作者 王芬 吴雪玲
出处 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2017年第3期71-77,共7页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金(10901067)
关键词 常平均曲率 Clifford环面 陈省身猜想 第二基本形式 constant mean curvature Clifford toms Chem's conjecture the second fundamental form
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