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2018 Topology of closed hypersurfaces of small entropy
Jacob Bernstein, Lu Wang
Geom. Topol. 22(2): 1109-1141 (2018). DOI: 10.2140/gt.2018.22.1109

Abstract

We use a weak mean curvature flow together with a surgery procedure to show that all closed hypersurfaces in 4 with entropy less than or equal to that of S2×, the round cylinder in 4, are diffeomorphic to S3.

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Jacob Bernstein. Lu Wang. "Topology of closed hypersurfaces of small entropy." Geom. Topol. 22 (2) 1109 - 1141, 2018. https://doi.org/10.2140/gt.2018.22.1109

Information

Received: 28 June 2016; Revised: 3 February 2017; Accepted: 16 April 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 1381.53112
MathSciNet: MR3748685
Digital Object Identifier: 10.2140/gt.2018.22.1109

Subjects:
Primary: 53C44
Secondary: 35K55, 57R65

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.22 • No. 2 • 2018
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