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How
to lift positive Ricci curvature
Catherine Searle and Frederick Wilhelm |
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Geometry & Topology 19 (2015) 1409–1475
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Abstract |
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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. |
Keywords
Ricci curvature, almost nonnegative curvature, Cheeger
deformations, conformal change of metric
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Mathematical Subject Classification 2010
Primary: 53C20
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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
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Authors |
| Catherine Searle | |
| Mathematics, Statistics and Physics
Department Wichita State University 1845 Fairmount Street Wichita, OR 67260-0003 USA |
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| http://sites.google.com/site/catherinesearle1/home | |
| Frederick Wilhelm | |
| Department of Mathematics University of California Riverside, CA 92521-0135 USA |
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| http://sites.google.com/site/frederickhwilhelmjr/home | |
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