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Metrics of positive Ricci curvature on bundles

Igor Belegradek·Guofang Wei
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Abstract

We construct new examples of manifolds of positive Ricci curvature which, topologically, are vector bundles over compact manifolds of almost nonnegative Ricci curvature. In particular, we prove that if E is the total space of a vector bundle over a compact manifold of nonnegative Ricci curvature, then the product of E and R^p admits a complete metric of positive Ricci curvature for all large p.

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Igor Belegradek, Guofang Wei. 2010-08-28. Metrics of positive Ricci curvature on bundles. https://arxiv.org/abs/math/0109167

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