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April 15, 2022Duke Mathematical Journal8 citations

Closed hypersurfaces of low entropy in R4 are isotopically trivial

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JBJacob BernsteinJohns Hopkins UniversityLWLu WangJilin University

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Abstract

We show that any closed connected hypersurface in ℝ⁴ with entropy less than or equal to that of the round cylinder is smoothly isotopic to the standard three-sphere.

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Cite This Study

Bernstein et al. (2022) studied this question.

synapsesocial.com/papers/6a20e2edb86afc1820180dfahttps://doi.org/10.1215/00127094-2022-0012
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