Title of Paper :Rational homotopy theory and nonnegative curvature
Author(s) : Jianzhong Pan
AMS Classification numbers :53C20 53C40 55P10
Addresses of Authors:
Institute of Math.,Academia Sinica ,Beijing 100080 ,China
email:pjz@math03.math.ac.cn
Text of Abstract (try for 20 lines or less) :
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.