An expository paper that presents and simplifies Wang's structure theory for convex ancient mean curvature flow solutions and shows rigidity results follow from it, including a new corollary.
Convex ancient solutions to curve shortening flow
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abstract
We show that the only convex ancient solutions to curve shortening flow are the stationary lines, shrinking circles, Grim Reapers and Angenent ovals, completing the classification initiated by Daskalopoulos, Hamilton and Sesum and X.-J. Wang
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math.DG 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Convex ancient solutions to mean curvature flow
An expository paper that presents and simplifies Wang's structure theory for convex ancient mean curvature flow solutions and shows rigidity results follow from it, including a new corollary.