| 全挠率一个定理的新证法及其结果的推广 |
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| 引用本文： | 陈永丰.全挠率一个定理的新证法及其结果的推广[J].福建师范大学学报(自然科学版),1987(4). |
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| 作者姓名： | 陈永丰 |
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| 作者单位： | 数学系 |
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| 摘 要： | 本文给出“单位球面上闭曲线的全挠率为零”定理的一种新证法。它改进了S.Millman和D.Parker一书中的证明,而且把结果推广到可展曲面上与直母线正交的闭曲线。
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| 关 键 词： | 微分几何 空间曲线的整体性质 全挠率 |
A New Proof for a Theorem of Total Torsion and Its Generalized Result |
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| Chen Yong-feng.A New Proof for a Theorem of Total Torsion and Its Generalized Result[J].Journal of Fujian Teachers University(Natural Science),1987(4). |
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| Authors: | Chen Yong-feng |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper gives a new proof for the known theorem. "The total torsion of a closed curve on the unit sphere is zero". It improves the proof which is shown in 1]. Moreover, the result is extended to the closed curve Which is orthogonal with the rectilinear generator on a developable surface. |
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