Topological obstructions to nonnegative curvature

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We find new obstructions to the existence of complete Riemannian metric of nonnegative sectional curvature on manifolds with infinite fundamental groups. In particular, we construct many examples of vector bundles whose total spaces admit no nonnegatively curved metric.
25 pages

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Differential Geometry, Geometric Topology, 53C20

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http://salesiana.dossiersoluciones.com/handle/123456789/58560

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001125
 http://arxiv.org/abs/math/0001125

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arXiv