Rational homotopy theory and nonnegative curvature

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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

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Algebraic Topology, Differential Geometry, 53C20 53C40 55P10

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http://salesiana.dossiersoluciones.com/handle/123456789/61764

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106262
 http://arxiv.org/abs/math/0106262

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arXiv