| 关于高余维子流形的浸入问题 |
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| 引用本文： | 李,滨.关于高余维子流形的浸入问题[J].华中师范大学学报(自然科学版),2012,46(3):257-260. |
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| 作者姓名： | 李 滨 |
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| 作者单位： | 四川教育学院数学系,成都,610041 |
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| 摘 要： | 高余维子流形的浸入是一个难处理的问题.本文研究在余维数为二的情况下,对关于某一类张量为全脐点子流形的Pick不变量,作出拉普拉斯估计,从而得到高余维子流形浸入的一些整体结果.
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| 关 键 词： | 全脐点子流形 张量 二次锥 浸入 |
The problems of immersion about higher codimension submanifold |
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| LI Bin.The problems of immersion about higher codimension submanifold[J].Journal of Central China Normal University(Natural Sciences),2012,46(3):257-260. |
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| Authors: | LI Bin |
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| Institution: | LI Bin(Department of Mathematics,Sichuan College of Education,Chengdu 610041) |
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| Abstract: | The immersions of higher codimension submanifold are a difficult problems.In this paper,centroaffine differential geometry of condimension two is studied,and the Laplace estimation of the Pick Invariant J on totally umbilical submanifold about tensor Hij is given,and some whole immersion results are obtained. |
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| Keywords: | totally umbilical submanifold tensor quadratic cone immersion |
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