English

Mean curvature flow with surgery

Differential Geometry 2017-10-18 v1 Analysis of PDEs

Abstract

We give a new proof for the existence of mean curvature flow with surgery of 2-convex hypersurfaces in RNR^N, as announced in arXiv:1304.0926. Our proof works for all N3N \geq 3, including mean convex surfaces in R3R^3. We also derive a priori estimates for a more general class of flows in a local and flexible setting.

Keywords

Cite

@article{arxiv.1404.2332,
  title  = {Mean curvature flow with surgery},
  author = {Robert Haslhofer and Bruce Kleiner},
  journal= {arXiv preprint arXiv:1404.2332},
  year   = {2017}
}
R2 v1 2026-06-22T03:46:30.145Z