Positive intermediate Ricci curvature on fibre bundles
Abstract: We consider intermediate Ricci curvatures which interpolate between sectional curvature and Ricci curvature. In this talk I will present a lifting result for positive intermediate Ricci curvature along fibre bundles, which extends a classical result for positive Ricci curvature. In combination with surgery techniques this provides a wide range of new examples of manifolds with a metric of positive intermediate Ricci curvature and we obtain results on the corresponding moduli space of metrics.
This is joint work with David Wraith.