Published Paper
Inserted: 23 sep 2025
Last Updated: 7 apr 2026
Journal: J. Math. Study
Volume: 58
Number: 4
Pages: 526--530
Year: 2025
Doi: 10.4208/jms.v58n4.25.09
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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