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Nonnegatively curved
$5$–manifolds with almost maximal symmetry rank
Fernando Galaz-Garcia and Catherine Searle |
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Geometry & Topology 18 (2014) 1397–1435
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Abstract |
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We show that a closed, simply connected, nonnegatively curved –manifold admitting an effective, isometric action is diffeomorphic to one of , or the Wu manifold . |
Keywords
symmetry rank, nonnegative curvature, $5$–manifold, torus
action
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Mathematical Subject Classification 2010
Primary: 53C20
Secondary: 57S25, 51M25
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References |
Publication
Received: 5 July 2012
Revised: 8 November 2013
Accepted: 14 December 2013
Published: 7 July 2014
Proposed: John Lott
Seconded: Tobias Colding, Gang Tian
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Authors |
| Fernando Galaz-Garcia | |
| Mathematisches Institut Westfälische Wilhelms-Universität Münster Einsteinst. 62 D-48149 Münster Germany |
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| http://wwwmath.uni-muenster.de/u/fernando.galaz-garcia/ | |
| Catherine Searle | |
| Department of Mathematics Oregon State University 368 Kidder Hall Corvallis, Oregon 97331 USA |
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| https://sites.google.com/site/catherinesearle1/home | |
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