Uniqueness of two-convex closed ancient solutions to the mean curvature flow
Pages 353-436 from Volume 192 (2020), Issue 2 by Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum
Abstract
In this paper we consider the classification of closed non-collapsed ancient solutions to the Mean Curvature Flow ($n\geq 2$) that are uniformly two-convex. We prove that they are either contracting spheres or they must coincide up to translations and scaling with the rotationally symmetric closed ancient non-collapsed solution first constructed by Brian White, and later by Robert Haslhofer and Or Hershkovits.
Received: 5 September 2018
Revised: 6 May 2020
Accepted: 12 July 2020
Published online: 9 September 2020
Authors
Sigurd Angenent
University of Wisconsin - Madison, Madison, WI
Panagiota Daskalopoulos
Columbia University, New York, NY
Natasa Sesum
Rutgers University, Piscataway, NJ