Abstract
We show that the unit tangent bundle of and a real cohomology 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.
Citation
Peter Petersen. Frederick Wilhelm. "Examples of Riemannian manifolds with positive curvature almost everywhere." Geom. Topol. 3 (1) 331 - 367, 1999. https://doi.org/10.2140/gt.1999.3.331
Information