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 2023Show all

3 papers · 1 filter

math.DG2023

Convex Ancient Solutions to Anisotropic Curve Shortening Flow

Theodora Bourni, Benjamin Richards

We construct a translating solution to anisotropic curve shortening flow and show that for a given anisotropic factor $g : S^{1} \to R_{+}$ , and a given direction and speed, this…

math.DG2023

Compact curve shortening flow solutions out of non compact curve

Theodora Bourni, Martin Reiris

We construct a slingshot, that is a compact, embedded solution to curve shortening flow that comes out of a non compact curve and exists for a finite time.

math.DG2023

Ancient Ricci flows of bounded girth

Theodora Bourni, Timothy Buttsworth, Ramiro Lafuente +1

For each $n \geq 3$ , we construct a 'pancake-like', $O (2) \times O (n - 1)$ -invariant ancient Ricci flow with positive curvature operator and bounded "girth", and we determine its asympt…