Shortening space curves and flow through singularities
Shortening space curves and flow through singularities
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DOI：
10.4310/jdg/1214448076
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发表时间：
1992
影响因子：
2.5
通讯作者：
S. Altschuler;M. Grayson
中科院分区：
文献类型：
--
作者：
S. Altschuler;M. Grayson
当一条浸入平面的闭曲线按其曲率向量演化时，在曲线收缩为一点之前就可能形成奇点。我们展示了如何使用空间曲线上的曲率流来定义平面解的自然连续。
When a closed curve immersed in the plane evolves by its curvature vec- tor, singularities can form before the curve shrinks to a point. We show how to use the curvature flow on space curves to define a natural contin- uation of the planar solution for all time.