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arXiv · 2306.08078

A strong Frankel Theorem for shrinkers

Tobias Holck Colding·William P. Minicozzi II
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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.

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Tobias Holck Colding, William P. Minicozzi II. 2023-06-13. A strong Frankel Theorem for shrinkers. https://doi.org/10.1112/s0010437x24007747

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