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arxiv: 1502.02270 · v2 · pith:HT2RVPJLnew · submitted 2015-02-08 · 🧮 math.DG · math.GT

Four-dimensional manifolds with positive biorthogonal curvature

classification 🧮 math.DG math.GT
keywords manifoldspositiveadmitaveragesbiorthogonalclassifyclosedcurvature
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We classify, up to homeomorphisms, the closed simply-connected 4-manifolds that admit a Riemannian metric for which averages of pairs of sectional curvatures of orthogonal planes are positive.

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