On the Saddle Point Property of Abresch-Langer curves under the Curve Shortening Flow

Details On the Saddle Point Property of Abresch-Langer curves under the Curve Shortening Flow On the Saddle Point Property of Abresch-Langer curves under the Curve Shortening Flow

2001-02-12

arxiv.org/abs/math/0102088v2

Mathematics

Analysis of PDEs

18 pages, 11 figures, AMS-LaTeX

Scientific paper

In the study of the curve shortening flow on general closed curves, Abresch and Langer posed a conjecture that the homothetic curves can be regarded as saddle points between multi-folded circles and some singular curves. In other words, these homothetic curves are the watershed between curves with a nonsingular future and those with singular future along the flow. In this article, we provide an affirmitive proof to this conjecture.

Affiliated with

Also associated with

No associations

Rating

On the Saddle Point Property of Abresch-Langer curves under the Curve Shortening Flow does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Saddle Point Property of Abresch-Langer curves under the Curve Shortening Flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Saddle Point Property of Abresch-Langer curves under the Curve Shortening Flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444234