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In this paper, we prove the mean-convex neighborhood conjecture for neck singularities of
the mean curvature flow in R n+ 1 for all n≥ 3: we show that if a mean curvature flow {M t} in …

Notes on Translating Solitons for Mean Curvature Flow | SpringerLink Skip to main content
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We construct a family A of complete, properly embedded, annular translators M such that M
lies in a slab and is invariant under reflections in the vertical coordinate planes. For each M …

We study translating solitons for the mean curvature flow, $\Sigma^ 2\subseteq\mathbb {R}^
3$ which are contained in slabs, and are of finite genus and finite entropy. As a first …

In this paper, we classify all noncollapsed singularity models for the mean curvature flow of 3-
dimensional hypersurfaces in R4 or more generally in 4-manifolds. Specifically, we prove …

We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim
reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb {R}^ 3$ of …

We construct a one-parameter family of singly periodic translating solutions to mean
curvature flow that converge as the period tends to 0 to the union of a grim reaper surface …

Morse–Radó theory for minimal surfaces - Hoffman - 2023 - Journal of the London
Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …

A Weierstrass type representation for translating solitons and singular minimal surfaces -
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