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math.DG2025
Fukaya-Yamaguchi Conjecture in Dimension Four
Elia Bruè, Aaron Naber, Daniele Semola
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…
math.DG2025
Compact Manifolds with Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Elia Bruè, Aaron Naber, Daniele Semola
It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has an almost nilpotent fundamental group. Leftover questions and conjectu…