We show how to lift positive Ricci and almost nonnegative curvatures from an orbit space to the corresponding –manifold, . We apply the results to get new examples of Riemannian manifolds that satisfy both curvature conditions simultaneously.
"How to lift positive Ricci curvature." Geom. Topol. 19 (3) 1409 - 1475, 2015. https://doi.org/10.2140/gt.2015.19.1409