Fukaya-Yamaguchi Conjecture in Dimension Four
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912325164859392 |
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| author | Bruè, Elia Naber, Aaron Semola, Daniele |
| author_facet | Bruè, Elia Naber, Aaron Semola, Daniele |
| contents | Fukaya and Yamaguchi conjectured that if $M^n$ is a manifold with nonnegative sectional curvature, then the fundamental group is uniformly virtually abelian. In this short note we observe that the conjecture holds in dimensions up to four. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fukaya-Yamaguchi Conjecture in Dimension Four Bruè, Elia Naber, Aaron Semola, Daniele Differential Geometry Fukaya and Yamaguchi conjectured that if $M^n$ is a manifold with nonnegative sectional curvature, then the fundamental group is uniformly virtually abelian. In this short note we observe that the conjecture holds in dimensions up to four. |
| title | Fukaya-Yamaguchi Conjecture in Dimension Four |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2504.09599 |