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

Abstract

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.

18 pages, 0 figure

References in corpus (1)

• Topology of Closed Hypersurfaces of Small Entropy

Cited by in corpus (2)

• Multiplicity one for min-max theory in compact manifolds with boundary and its applications
• Mass Drop and Multiplicity in Mean Curvature Flow