How to lift positive Ricci curvature

Catherine Searle; Frederick Wilhelm

doi:10.2140/gt.2015.19.1409

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Home > Journals > Geom. Topol. > Volume 19 > Issue 3 > Article

2015 How to lift positive Ricci curvature

Catherine Searle, Frederick Wilhelm

Geom. Topol. 19(3): 1409-1475 (2015). DOI: 10.2140/gt.2015.19.1409

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Abstract

We show how to lift positive Ricci and almost nonnegative curvatures from an orbit space $M ∕ G$ to the corresponding $G “$ –manifold, $M$ . We apply the results to get new examples of Riemannian manifolds that satisfy both curvature conditions simultaneously.

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Catherine Searle. Frederick Wilhelm. "How to lift positive Ricci curvature." Geom. Topol. 19 (3) 1409 - 1475, 2015. https://doi.org/10.2140/gt.2015.19.1409