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arxiv: 0801.2221 · v3 · submitted 2008-01-15 · 🧮 math.DG

On the topology of manifolds with positive isotropic curvature

classification 🧮 math.DG
keywords curvatureisotropicpositiveclosedconnectedcopiesfreefundamental
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We show that a closed orientable Riemannian $n$-manifold, $n \ge 5$, with positive isotropic curvature and free fundamental group is homeomorphic to the connected sum of copies of $S^{n-1} \times S^1$.

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