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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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Bibliografske podrobnosti
Glavni avtor: Vladimir Rovenski
Format: Artigo
Jezik:Inglês
Izdano: MDPI AG 2020-05-01
Serija:Mathematics
Teme:
Online dostop:https://www.mdpi.com/2227-7390/8/5/701
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