Rational homotopy theory and nonnegative curvature
Algebraic Topology
2007-05-23 v1 Differential Geometry
Abstract
In this note, we answer positively a question by Belegradek and Kapovitch about the relation between rational homotopy theory and a problem in Riemannian geometry which asks that total spaces of which vector bundles over compact nonnegative curved manifolds admit (complete) metrics with nonnegative curvature.
Cite
@article{arxiv.math/0106262,
title = {Rational homotopy theory and nonnegative curvature},
author = {Jianzhong Pan},
journal= {arXiv preprint arXiv:math/0106262},
year = {2007}
}
Comments
7 pages, talk to be given at SISTAG, National Univ. of Singapore, Jul.2-6, 2001