The Curve Shortening Flow in the Metric-Affine Plane

We investigated, for the first time, the curve shortening flow in the metric-affine plane and prove that under simple geometric condition (when the curvature of initial curve dominates the torsion term) it shrinks a closed convex curve to a “round point” in finite time. This generalizes the classica...

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Bibliographic Details
Main Author: Vladimir Rovenski
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/5/701