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.