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arXiv · 2504.09599

Fukaya-Yamaguchi Conjecture in Dimension Four

Elia Bruè·Aaron Naber·Daniele Semola
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Abstract

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.

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Elia Bruè, Aaron Naber, Daniele Semola. 2025-04-13. Fukaya-Yamaguchi Conjecture in Dimension Four. https://arxiv.org/abs/2504.09599

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