Alexander Mramor

activity

20172026

most citedLow Entropy and the Mean Curvature Flow with Surgery

5 citations · 8 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.DG2019

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 $n \geq 2$ with the topology of $S^{1} \times S^{n - 1}$ . These examples are not mean convex and not soliton…

math.DG2019

Ancient and Eternal Solutions to Mean Curvature Flow from Minimal Surfaces

Alexander Mramor, Alec Payne

We construct embedded ancient solutions to mean curvature flow related to certain classes of unstable minimal hypersurfaces in $R^{n + 1}$ for $n \geq 2$ . These provide exam…

math.DG2019

Nonconvex Surfaces which Flow to Round Points

Alexander Mramor, Alec Payne

In this article, we extend Huisken's theorem that convex surfaces flow to round points by mean curvature flow. We construct certain classes of mean convex and non-mean convex hyper…