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math.DG2022
Hamilton's Theorem (on the compactness of pinched hypersurfaces) via mean curvature flow
Theodora Bourni, Mat Langford, Stephen Lynch
We make rigorous an old idea of using mean curvature flow to prove a theorem of Richard Hamilton on the compactness of proper hypersurfaces with pinched, bounded curvature.
math.DG2022★ 1 cited
Classification of convex ancient free boundary mean curvature flows in the ball
Theodora Bourni, Mat Langford
We prove that there exists, in every dimension, a unique (modulo rotations about the origin and time translations) convex ancient mean curvature flow in the ball with free boundary…