Generating Shrinkers by Mean Curvature Flow
Differential Geometry
2026-01-22 v3
Abstract
We prove existence for many examples of shrinkers by producing compact, smoothly embedded surfaces that, under mean curvature flow, develop singularities at which the shrinkers occur as blowups.
Keywords
Cite
@article{arxiv.2502.20340,
title = {Generating Shrinkers by Mean Curvature Flow},
author = {David Hoffman and Francisco Martin and Brian White},
journal= {arXiv preprint arXiv:2502.20340},
year = {2026}
}
Comments
50 pages, 9 figures. The new version (January 20, 2026) incorporates many small changes suggested by the referees