Mean curvature flow with multiplicity $2$ convergence in closed manifolds
Differential Geometry
2025-03-11 v2 Analysis of PDEs
Abstract
We construct new examples of immortal mean curvature flow of smooth embedded connected hypersurfaces in closed manifolds, which converge to minimal hypersurfaces with multiplicity as time approaches infinity.
Cite
@article{arxiv.2402.04521,
title = {Mean curvature flow with multiplicity $2$ convergence in closed manifolds},
author = {Jingwen Chen and Ao Sun},
journal= {arXiv preprint arXiv:2402.04521},
year = {2025}
}
Comments
19 pages, 3 figures. Revisions have been made based on the comments of an anonymous referee. To appear in Mathematische Annalen