Examples of Riemannian manifolds with positive curvature almost everywhere

Details Examples of Riemannian manifolds with positive curvature almost everywhere Examples of Riemannian manifolds with positive curvature almost everywhere

1999-10-14

arxiv.org/abs/math/9910187v1

Geom. Topol. 3 (1999), 331-367

Mathematics

Differential Geometry

37 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper14.abs.html

Scientific paper

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.

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