| 欧氏空间超曲面的等周不等式 |
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| 引用本文： | 蔡开仁.欧氏空间超曲面的等周不等式[J].杭州师范学院学报(自然科学版),2001(1). |
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| 作者姓名： | 蔡开仁 |
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| 作者单位： | 杭州师范学院数学系!浙江杭州310012 |
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| 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 Ricci曲率的上界给出球面的特征
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| 关 键 词： | 闭超曲面 等周不等式 平均曲率 |
Isometric inequalies of hypersurfaces in Euclidean space |
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| CAI Kai,ren.Isometric inequalies of hypersurfaces in Euclidean space[J].Journal of Hangzhou Teachers College(Natural Science),2001(1). |
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| Authors: | CAI Kai ren |
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| Abstract: | 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. |
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| Keywords: | closed hypersurface isometric inequality mean curvature |
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