As on arXiv
Abstract
In this article, we generalize our previous results joint with Pedro Gaspar to higher dimensions, prove the existence of (infinitely many) eternal weak mean curvature flows in (for all ) connecting a Clifford hypersurface to the equatorial spheres .
Comments: 19 pages, updated the proof of Lemma 2. arXiv admin note: text overlap with arXiv:2107.09140
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.
-
Allen–Cahn and mean curvature flows from Clifford hypersurfaces to equators
Topics Mean curvature flow · Same author Jingwen Chen · Shared terms “Clifford hypersurface”, “equatorial spheres”, “Pedro Gaspar”
-
Mean curvature flow and low energy solutions of the parabolic Allen-Cahn equation on the three-sphere
Topics Mean curvature flow · Same author Jingwen Chen · Shared terms “equatorial spheres”, “Clifford”
-
When can minimal hypersurfaces be connected by mean curvature flow?
Topics Mean curvature flow · Same author Jingwen Chen · Shared terms “connecting”
-
Mean curvature flow with multiplicity 2 convergence in
Topics Mean curvature flow · Same author Jingwen Chen
-
Mean curvature flow with multiplicity convergence in closed manifolds
Topics Mean curvature flow · Same author Jingwen Chen
-
Closed mean curvature flows with prescribed tangent flows
Topics Mean curvature flow · Same author Jingwen Chen
-
Genus Increase in Closed Mean Curvature Flows
Topics Mean curvature flow · Same author Jingwen Chen
-
On the Structure of Singularities of Weak Mean Curvature Flows with Mean Curvature Bounds
Topics Mean curvature flow · Shared terms “weak mean”
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.