| 常曲率空间中超曲面的平均曲率 |
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| 引用本文： | 周振荣.常曲率空间中超曲面的平均曲率[J].武汉工业学院学报,1992(1). |
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| 作者姓名： | 周振荣 |
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| 作者单位： | 武汉粮食工业学院基础部 |
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| 摘 要： | 本文利用Gauss方程得到了常曲率空间中超曲面的平均曲率的一些估计,进而得到了超曲面的一些整体定理;最后利用E~3中曲面的全中曲率的共形不变性以及Gauss Bonnet定理,得到了第二基本形式模方积分的共形不变性。
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| 关 键 词： | 平均曲率 Ricci曲率 标量曲率 |
MEAN CURVATURE OF HYPERSURFACE IN SPACE OF ORDINARY CURVATURE |
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| Zhou Zhenrong.MEAN CURVATURE OF HYPERSURFACE IN SPACE OF ORDINARY CURVATURE[J].Journal of Wuhan Polytechnic University,1992(1). |
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| Authors: | Zhou Zhenrong |
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| Affiliation: | Basic Course Department |
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| Abstract: | By using the Gauss equation, some estimations of the mean curvature of the hypersurface in the space of ordinary curvature was obtained and furthermore some whole theorems were obtained,too. Finally a confor-mal invariability of norm integrate of the second fundamental form was obtained by using the Conformal invariability of the total mean curvature of the surface in E3 and the Gauss Bonnet theorem. |
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| Keywords: | mean curvature Ricci curvature scalar curvature |
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