3-manifolds with nonnegative Ricci curvature
classification
🧮 math.DG
keywords
curvaturenonnegativericciconfirmsconjecturecorollarycoverdiffeomorphic
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For a noncompact 3-manifold with nonnegative Ricci curvature, we prove that either it is diffeomorphic to $\mathbb{R}^3$ or the universal cover splits. As a corollary, it confirms a conjecture of Milnor in dimension 3.
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