A strong Frankel theorem for shrinkers

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.

Authors

Tobias Colding
William P. Minicozzi (ORCID: https://orcid.org/0000-0001-5778-1889)

Institutions

Moscow Institute of Thermal Technology (RU)

Publication Details

Journal: Compositio Mathematica
Published: 2025-05-01
DOI: https://doi.org/10.1112/s0010437x24007747
Primary Topic: Geometric Analysis and Curvature Flows
Type: article
Field-Weighted Citation Impact: 0.00

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article

A strong Frankel theorem for shrinkers

Tobias Colding, William P. Minicozzi

May 1, 2025

Compositio Mathematica

Geometric Analysis and Curvature Flows

article

A strong Frankel theorem for shrinkers

Tobias Colding, William P. Minicozzi

May 1, 2025article en

Abstract

Compositio MathematicaVol. 161(5)

Moscow Institute of Thermal Technology (RU)

Openalex Percentile: Top 69%

Geometric Analysis and Curvature Flows

DOI Source OpenAlex

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A strong Frankel theorem for shrinkers — Tobias Colding, William P. Minicozzi · Compositio Mathematica (2025) | TGRS Research Map | TGRS