| R~3中的两个叶层结构的问题 |
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| 引用本文： | 王珺.R~3中的两个叶层结构的问题[J].苏州大学学报(医学版),1988(1). |
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| 作者姓名： | 王珺 |
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| 作者单位： | 苏州大学数学系 |
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| 摘 要： | 本文证明R~3中不存在以圆为叶的C~21维叶层结构和以R~3为其极小集的C~21维叶层结构。
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| 关 键 词： | 叶层结构 极小集 环面 亏格 |
On Two Problems of Foliations in R~3 |
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| Wang Jun.On Two Problems of Foliations in R~3[J].Journal of Suzhou University(Natural Science),1988(1). |
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| Authors: | Wang Jun |
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| Institution: | Wang Jun Department of Mathematics |
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| Abstract: | Two non-existence theorems are proved in the article. One
is that there is no C~2 one dimensional foliation in R~3 with circles as
its leaves. The other is that there is no C~2 one dimensional foliation
in R~3 with minimal set R~3. |
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| Keywords: | Foliatoin Minimal set Torus Genus |
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