Rational homotopy theory and nonnegative curvature

Details Rational homotopy theory and nonnegative curvature Rational homotopy theory and nonnegative curvature

2001-06-29

arxiv.org/abs/math/0106262v1

Mathematics

Algebraic Topology

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

Scientific paper

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.

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