Uniqueness of two-convex closed ancient solutions to the mean curvature flow
read the original abstract
In this paper we consider closed non-collapsed ancient solutions to the mean curvature flow ($n \ge 2$) which are uniformly two-convex. We prove that any two such ancient solutions are the same up to translations and scaling. In particular, they must coincide up to translations and scaling with the rotationally symmetric closed ancient non-collapsed solution constructed by Brian White in (2000), and by Robert Haslhofer and Or Hershkovits in (2016).
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow
Proves that rotationally and reflection symmetric compact noncollapsed ancient 3D Ricci flow solutions are either spheres or have unique asymptotics as t to -∞ with explicit description.
-
Convex ancient solutions to mean curvature flow
An expository paper that presents and simplifies Wang's structure theory for convex ancient mean curvature flow solutions and shows rigidity results follow from it, including a new corollary.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.