
arXiv: 2003.10102
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 classical result by M. Gage and R.S. Hamilton about convex curves in a Euclidean plane.
Mathematics - Differential Geometry, Differential Geometry (math.DG), curvature, convex, QA1-939, FOS: Mathematics, affine connection, curve shortening flow, Mathematics
Mathematics - Differential Geometry, Differential Geometry (math.DG), curvature, convex, QA1-939, FOS: Mathematics, affine connection, curve shortening flow, Mathematics
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