Examples of Riemannian manifolds with positive curvature almost everywhere
Differential Geometry
2014-11-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9910187,
title = {Examples of Riemannian manifolds with positive curvature almost everywhere},
author = {Peter Petersen and Frederick Wilhelm},
journal= {arXiv preprint arXiv:math/9910187},
year = {2014}
}
Comments
37 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper14.abs.html