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arXiv · 1511.00387

Topology of Closed Hypersurfaces of Small Entropy

Jacob Bernstein·Lu Wang
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Abstract

We use a weak mean curvature flow together with a surgery procedure to show that all closed hypersurfaces in $\mathbb{R}^4$ with entropy less than or equal to that of $\mathbb{S}^2\times \mathbb{R}$, the round cylinder in $\mathbb{R}^4$, are diffeomorphic to $\mathbb{S}^3$.

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Jacob Bernstein, Lu Wang. 2016-06-28. Topology of Closed Hypersurfaces of Small Entropy. https://doi.org/10.2140/gt.2018.22.1109

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