| 数量曲率的第二空隙 |
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| 引用本文： | 魏嗣明,许洪伟.数量曲率的第二空隙[J].浙江大学学报(理学版),2007,34(4):375-377. |
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| 作者姓名： | 魏嗣明 许洪伟 |
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| 作者单位： | 浙江大学,数学中心,浙江,杭州,310027 |
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| 摘 要： | 单位球面中极小浸入闭超曲面的第二基本形式S的可取值是否离散一直是受关注的问题．通过对此超曲面主曲率的研究，给出了S的可能值存在第二空隙的两个充分条件，并分别估计了在这些条件下的空隙长度．
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| 关 键 词： | 极小超曲面 数量曲率 二空隙 主曲率 |
| 文章编号： | 1008-9497（2007）04-375-03 |
| 修稿时间： | 2005-11-08 |
Second gap of the scalar curvature |
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| WEI Si-ming,XU Hong-wei.Second gap of the scalar curvature[J].Journal of Zhejiang University(Sciences Edition),2007,34(4):375-377. |
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| Authors: | WEI Si-ming XU Hong-wei |
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| Institution: | Mathmetical Center, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | Let S be the second fundamental form of a closed hypersurface which is minimally immersed in a unit sphere.The question whether the value of S is discrete has been attractive for a long time.It mainly deals with the properties for the principal curvatures of the hypersurface and gets two sufficient conditions under which S has a second gap.Also estimates for the gap's length are obtained. |
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| Keywords: | minimally hypersurface scalar curvature second gap principal curvature |
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