| 高余维平均曲率流在第一奇异时间处的平均曲率 |
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| 引用本文： | 喻丽菊,薛艳昉. 高余维平均曲率流在第一奇异时间处的平均曲率[J]. 信阳师范学院学报(自然科学版), 2012, 0(1): 31-33 |
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| 作者姓名： | 喻丽菊 薛艳昉 |
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| 作者单位： | 嘉兴学院数理与信息工程学院;信阳师范学院数学与信息科学学院 |
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| 基金项目： | 浙江省教育厅科研项目(Y200909563) |
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| 摘 要： | 考虑沿平均曲率向量移动的一族光滑浸入X(.,t):Mm→Rn,满足tX(x,t)=H(x,t),t∈[0,T).证明了:在第一奇异时间T处,若奇异点为第一型的,则平均曲率在T处爆破.
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| 关 键 词： | 曲率流 奇异点 单调公式 平均曲率 |
Mean Curvature at the First Singular Time of the Mean Curvature Flow in Higher Codimension |
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| YU Li-ju,XUE Yan-. Mean Curvature at the First Singular Time of the Mean Curvature Flow in Higher Codimension[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2012, 0(1): 31-33 |
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| Authors: | YU Li-ju XUE Yan- |
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| Affiliation: | fang2(1.School of Mathematics Physics and Information Engineering,Jiaxing University,Jiaxing 314001,China; 2.College of Mathematics and Information Sciences,Xinyang Normal University,Xinyang 464000,China) |
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| Abstract: | A family of smooth immersions X(·,t):Mm→Rn of submanifolds in Rn moving by the mean curvature vector /tX(x,t)=H(x,t) for t∈[0,T) was considered.The mean curvature blows up at the first singular time T if all the singularities are of type I. |
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| Keywords: | curvature flow singularity monotone formula |
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