Open 4-manifolds with nonnegative Ricci curvature and Euclidean volume growth of the universal cover have finitely generated, virtually abelian fundamental groups.
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Nonnegative Ricci Curvature, Euclidean Volume Growth, and the Fundamental Groups of Open $4$-Manifolds
Open 4-manifolds with nonnegative Ricci curvature and Euclidean volume growth of the universal cover have finitely generated, virtually abelian fundamental groups.