On the writhing number of a non-closed curve

On the writhing number of a non-closed curve
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关于非闭合曲线的扭动数

DOI:
10.1142/9789812703460_0026
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发表时间:
2005
期刊:
影响因子:
--
通讯作者:
E. L. Starostin
E. L. Starostin
中科院分区:
--
文献类型:
--
作者:
E. L. Starostin

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本文讨论了空间曲线任意片段的扭曲数的定义和计算。该方法基于用测地线闭合切线指标。这是一种将痛苦与高人联系在一起的关系?研究了开曲线上的积分。以单螺旋和双螺旋形状为例。
The paper deals with the definition and computation of the writhingnumber of an arbitrary fragment of a space curve. The approach is basedon closing the tangent indicatrix with a geodesic. A relationship connectingthe writhe with the Gau? integral over the open curve is studied.Single and double helical shapes are presented as examples.