Published Paper

Inserted: 7 jan 2025
Last Updated: 7 jan 2025

Journal: J Geom. Anal.
Year: 2017

Abstract:

In this article, we use the recently developed mean curvature flow with surgery for 2 convex hypersurfaces to prove several isotopy existence and finally extrinsic finiteness results (in the spirit of Cheeger's compactness theorem) for the space of 2 convex hypersurfaces in $\mathbb{R}^{n+1}$.