T. Bourni

activity

20102026

most citedA collapsing ancient solution of mean curvature flow in

R^{3}

15 citations · 29 across the 28 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

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…

math.DG2022

Nonplanar ancient curve shortening flows in $R^{3}$ from grim reapers

Theodora Bourni, Alexander Mramor

In this note we construct new nonplanar ancient (in fact, eternal) solutions to the curve shortening flow in $R^{3}$ , built out of translating grim reapers laying in perpend…

Hamilton's Theorem (on the compactness of pinched hypersurfaces) via mean curvature flow

Classification of convex ancient free boundary mean curvature flows in the ball

Nonplanar ancient curve shortening flows in R3 from grim reapers

Nonplanar ancient curve shortening flows in $R^{3}$ from grim reapers