The curve shortening flow in the metric-affine plane

Published 23 Mar 2020 in math.DG | (2003.10102v1)

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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Authors (1)

Vladimir Rovenski

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