摘要
给出了高维欧氏空间超曲面的两个等周不等式 ,并以超曲面的第一特征值和平均曲率或
In the short note we set up an isometric inequality of convex hypersurfaces embedded in Euclidean space R n+1 by using the first eigenvalue and the up bound of mean curvature or Ricci curvature of the hypersurfaces. The inequality is sharp and it can be treated as a generalization of relative results obtained by some authors.
出处
《杭州师范大学学报（自然科学版）》
CAS
2001年第1期1-3,共3页
Journal of Hangzhou Normal University(Natural Science Edition)
关键词
闭超曲面
等周不等式
平均曲率
closed hypersurface
isometric inequality
mean curvature
