Metrics of positive Ricci curvature on bundles

الأصل · EN

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 Rᵖ admits a complete metric of positive Ricci curvature for all large p.