Compact Embedded Rotational Hypersurfaces with Constant Mean Curvature in a Sphere

摘要：

　　In the first part of this paper, we give a survey of complete classification of embedded CMC tori in a 3-dimensional sphere, which was proved by Ben Andrews and Haizhong Li in 2012.In the second part of this paper, by studying the monotonicity of the period function K (H, n, C), we give a complete classification of n-dimensional compact embedded rotational CMC hypersurfaces in Sn+1 for n =3, 4.In last part of this paper, we give a survey of compact embedded rotational hypersurfaces with constant mth mean curvature in a sphere.

关键词： Lawson conjecture Pinkall-Sterling conjecture classification of embedded CMC tori rotational CMC hypersurfaces monotonicity of period function

作者: Zhijie Huang Haizhong Li

作者单位: DEPARTMENT OF MATHEMATICAL SCIENCES, TSINGHUA UNIVERSITY BEIJING 100084, CHINA DEPARTMENT OF MATHEMATICAL SCIENCES & MATHEMATICAL SCIENCES CENTER, TSINGHUA UNIVERSITY BEIJING 1000

会议类型: 国际会议

会议名称: The 6th International Congress of Chinese Mathematicians (第6届世界华人数学家大会)

会议地点: 台北

会议语种:英文

页码: 95-117

在线出版日期: 2013-07-14（万方平台首次上网日期，不代表论文的发表时间）