# Metrics of positive Ricci curvature on bundles

Research paper by Igor Belegradek, Guofang Wei

Indexed on: 28 Aug '10Published on: 28 Aug '10Published in: Mathematics - Differential Geometry

#### 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.