Title:
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.