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Examples of Riemannian manifolds with positive curvature almost everywhere
1999
Geometry and Topology
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We show that the unit tangent bundle of S^4 and a real cohomology CP^3 admit Riemannian metrics with positive sectional curvature almost everywhere. These are the only examples so far with positive curvature almost everywhere that are not also known to admit positive curvature.
doi:10.2140/gt.1999.3.331
fatcat:n5toafsf5zhixcmggoyyplzce4