Flat Sections and Non-negative Curvature in Pullback Bundles
Differential Geometry
2013-04-17 v1
Abstract
We give a geometric obstruction to the non-negativity of the sectional curvature in the total spaces of certain Riemannian submersions with totally geodesic fibers; applications of this obstruction to several examples are given.
Cite
@article{arxiv.1304.4532,
title = {Flat Sections and Non-negative Curvature in Pullback Bundles},
author = {C. Durán and L. D. Sperança},
journal= {arXiv preprint arXiv:1304.4532},
year = {2013}
}
Comments
14 pages