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arXiv:math/9910187 [math.DG]AbstractReferencesReviewsResources

Examples of Riemannian manifolds with positive curvature almost everywhere

Peter Petersen, Frederick Wilhelm

Published 1999-10-14Version 1

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.

Comments: 37 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper14.abs.html
Journal: Geom. Topol. 3 (1999), 331-367
Categories: math.DG
Subjects: 53C20, 53C20, 58B20, 58G30
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