Topological obstructions to nonnegative curvature
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
We find new obstructions to the existence of complete Riemannian metric of nonnegative sectional curvature on manifolds with infinite fundamental groups. In particular, we construct many examples of vector bundles whose total spaces admit no nonnegatively curved metric.
Cite
@article{arxiv.math/0001125,
title = {Topological obstructions to nonnegative curvature},
author = {Igor Belegradek and Vitali Kapovitch},
journal= {arXiv preprint arXiv:math/0001125},
year = {2007}
}
Comments
25 pages