Rational Homotopy Theory and Nonnegative Curvature

Authors
Pan, Jian Zhong Wu, Shao Bing
Citation
Pan, Jian Zhong et Wu, Shao Bing, Rational Homotopy Theory and Nonnegative Curvature, Acta mathematica Sinica. English series (Print) , 22(1), 2006, pp. 23-26
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
1
Year of publication
2006
Pages
23 - 26
Database
ACNP
SICI code
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 non-negative curved manifolds admit (complete) metrics with non-negative curvature.