A strong Frankel Theorem for shrinkers
Differential Geometry
2025-08-20 v1
Abstract
We prove a strong Frankel theorem for mean curvature flow shrinkers in all dimensions: Any two shrinkers in a sufficiently large ball must intersect. In particular, the shrinker itself must be connected in all large balls. The key to the proof is a strong Bernstein theorem for incomplete stable Gaussian surfaces.
Cite
@article{arxiv.2306.08078,
title = {A strong Frankel Theorem for shrinkers},
author = {Tobias Holck Colding and William P. Minicozzi},
journal= {arXiv preprint arXiv:2306.08078},
year = {2025}
}