Journal of Differential Geometry
Paper

Shortening space curves and flow through singularities

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Abstract

When a closed curve immersed in the plane evolves by its curvature vector, 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 continuation of the planar solution for all time. © 1992, International Press of Boston, Inc. All Rights Reserved.

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