Curves of Finite Total Curvature
Curves of Finite Total Curvature
复制标题
有限总曲率曲线
DOI：
10.1007/978-3-7643-8621-4_7
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
J. Sullivan
中科院分区：
文献类型：
--
作者：
J. Sullivan
我们考虑的曲线类的有限总曲率，介绍了米尔诺。这是变分问题和几何纽结理论的一个自然类，因为它包括光滑和多边形曲线，它的研究表明我们离散和微分几何之间的联系。为了探索这些想法，我们考虑定理的Fary/Milnor，舒尔，Chakerian和Wienholtz。
We consider the class of curves of finite total curvature, as introduced by Milnor. This is a natural class for variational problems and geometric knot theory, and since it includes both smooth and polygonal curves, its study shows us connections between discrete and differential geometry. To explore these ideas, we consider theorems of Fary/Milnor, Schur, Chakerian and Wienholtz.