Closed hypersurfaces of low entropy in $\mathbb{R}^4$ are isotopically trivial

preprint2020arXivOpen access

We show that any closed connected hypersurface in $\mathbb{R}^4$ with entropy less than or equal to that of the round cylinder is smoothly isotopic to the standard three-sphere.

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Closed hypersurfaces of low entropy in $\mathbb{R}^4$ are isotopically trivial

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Closed hypersurfaces of low entropy in R4\mathbb{R}^4R4 are isotopically trivial

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Closed hypersurfaces of low entropy in $\mathbb{R}^4$ are isotopically trivial