1 citations · 1 across the 5 of their papers we have counts for
9 papers
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.
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…
Quadratically pinched submanifolds of the sphere via mean curvature flow with surgery
Mat Langford, Stephen Lynch, Huy The Nguyen
We study mean curvature flow of -dimensional submanifolds of , the round -sphere of sectional curvature , under the quadratic curvature pinching con…
Differential Harnack inequalities via Concavity of the arrival time
Theodora Bourni, Mat Langford
We present a simple connection between differential Harnack inequalities for hypersurface flows and natural concavity properties of their time-of-arrival functions. We prove these…
On the construction of closed nonconvex nonsoliton ancient mean curvature flows
Theodora Bourni, Mathew Langford, Alexander Mramor
We construct closed, embedded, ancient mean curvature flows in each dimension with the topology of . These examples are not mean convex and not soliton…
Convex ancient solutions to mean curvature flow
Theodora Bourni, Mat Langford, Giuseppe Tinaglia
X.-J. Wang proved a series of remarkable results on the structure of convex ancient solutions to mean curvature flow. Some of his results do not appear to be widely known, however,…