The curve shortening flow in the metric-affine plane
Differential Geometry
2020-03-24 v1
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.
Keywords
Cite
@article{arxiv.2003.10102,
title = {The curve shortening flow in the metric-affine plane},
author = {Vladimir Rovenski},
journal= {arXiv preprint arXiv:2003.10102},
year = {2020}
}
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12 pages