How to lift positive Ricci curvature

Searle, Catherine; Wilhelm, Frederick

doi:10.2140/gt.2015.19.1409

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How to lift positive Ricci curvature

Catherine Searle and Frederick Wilhelm

Geometry & Topology 19 (2015) 1409–1475

DOI: 10.2140/gt.2015.19.1409

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.

Keywords

Ricci curvature, almost nonnegative curvature, Cheeger deformations, conformal change of metric

Mathematical Subject Classification 2010

Primary: 53C20

References

Publication

Received: 20 December 2013

Revised: 30 June 2014

Accepted: 1 August 2014

Published: 21 May 2015

Proposed: John Lott

Seconded: Tobias H Colding, Peter Teichner

Authors

Catherine Searle
Mathematics, Statistics and Physics Department Wichita State University 1845 Fairmount Street Wichita, OR 67260-0003 USA
http://sites.google.com/site/catherinesearle1/home
Frederick Wilhelm
Department of Mathematics University of California Riverside, CA 92521-0135 USA
http://sites.google.com/site/frederickhwilhelmjr/home

Volume 19, issue 3 (2015)