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arXiv · 2308.02210

Translating Annuli for Mean Curvature Flow

David Hoffman·Francisco Martín·Brian White
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Abstract

We construct a family of complete, properly embedded, annular translators $M$ such that $M$ lies in a slab and is invariant under reflections in the vertical coordinate planes. Each translator in the family is asymptotic as $z\to -\infty$ to four vertical planes $\{y= \pm b\}$ and $\{y= \pm B\}$, where $0 0$, there is a translator in the family with inner width $b$ and with necksize $s$. (We also show that there are no translators with inner width $<\pi/2$ having the properties of the examples we construct.)

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David Hoffman, Francisco Martín, Brian White. 2023-08-04. Translating Annuli for Mean Curvature Flow. https://arxiv.org/abs/2308.02210

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