Fukaya-Yamaguchi Conjecture in Dimension Four
Differential Geometry
2025-04-15 v1
Abstract
Fukaya and Yamaguchi conjectured that if 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.
Cite
@article{arxiv.2504.09599,
title = {Fukaya-Yamaguchi Conjecture in Dimension Four},
author = {Elia Bruè and Aaron Naber and Daniele Semola},
journal= {arXiv preprint arXiv:2504.09599},
year = {2025}
}