As on arXiv
Abstract
We construct a new example of an immortal mean curvature flow of smooth embedded connected surfaces in , which converges to a plane with multiplicity as time approaches infinity.
Comments: 30 pages, 6 figures. To appear in Analysis & PDE
Its neighbourhood
Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
-
Mean curvature flow with multiplicity convergence in closed manifolds
Topics Long-time existence & convergence · Same authors Jingwen Chen, Ao Sun · Shared terms “multiplicity”, “embedded connected”, “immortal mean”
-
Closed mean curvature flows with prescribed tangent flows
Topics Mean curvature flow · Same authors Jingwen Chen, Ao Sun
-
On the long-time limit of the mean curvature flow in closed manifolds
Topics Mean curvature flow · Same author Ao Sun · Shared terms “multiplicity”, “smooth embedded”
-
When can minimal hypersurfaces be connected by mean curvature flow?
Topics Mean curvature flow · Same author Jingwen Chen
-
Genus one singularities in mean curvature flow
Topics Mean curvature flow · Same author Ao Sun
-
On mean curvature flow translators with prescribed ends
Topics Mean curvature flow · Same author Ao Sun
-
Symmetric mean curvature flow on the n-sphere
Topics Mean curvature flow · Same author Jingwen Chen
-
Mean curvature flows with cylindrical singularities II: stability and genericity
Topics Mean curvature flow · Same author Ao Sun
Read around it
Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 6A.10Curve Shortening and the First Geometric Flows
Shrinking circles, grim reapers, neckpinches and Huisken’s monotonicity, seen in the plane.