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arxiv: 1108.1888 · v2 · submitted 2011-08-09 · 🧮 math.DG

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3-manifolds with nonnegative Ricci curvature

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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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