Alec Payne

activity

20182026

most citedWarped Tori with Almost Non-Negative Scalar Curvature

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

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Showing 2019Show all

2 papers · 1 filter

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…