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Rational homotopy theory and nonnegative curvature

Jianzhong Pan
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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.

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Jianzhong Pan. 2001-06-29. Rational homotopy theory and nonnegative curvature. https://arxiv.org/abs/math/0106262

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