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A strong Frankel Theorem for shrinkers - MaRDI portal

A strong Frankel Theorem for shrinkers

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Publication:6440207

arXiv2306.08078MaRDI QIDQ6440207

William P. II Minicozzi, Tobias H. Colding

Publication date: 13 June 2023

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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