The curve shortening flow in the metric-affine plane

2020/03/23 by Rovenski, Vladimir
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2003.10102

Abstract

We investigate for the first time the curve shortening flow in the metric-affine plane and prove that under simple geometric condition it shrinks a closed convex curve to a "round point" in finite time. This generalizes the classical result by M. Gage and R.S. Hamilton about convex curves in Euclidean plane.

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