paper

Rational homotopy theory and nonnegative curvature

arXiv:math/0106262

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.

7 pages, talk to be given at SISTAG, National Univ. of Singapore, Jul.2-6, 2001

Rational homotopy theory and nonnegative curvature · wovepaper