A strong Frankel Theorem for shrinkers
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909741902462976 |
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| author | Colding, Tobias Holck Minicozzi II, William P. |
| author_facet | Colding, Tobias Holck Minicozzi II, William P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_08078 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A strong Frankel Theorem for shrinkers Colding, Tobias Holck Minicozzi II, William P. Differential Geometry 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. |
| title | A strong Frankel Theorem for shrinkers |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2306.08078 |