On the curvature of biquotients

Kerin, Martin

doi:10.1007/s00208-011-0634-7

On the curvature of biquotients

Kerin, Martin

Authors

Dr Martin Kerin martin.p.kerin@durham.ac.uk
Assistant Professor

Abstract

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of non-negatively curved manifolds which contain either a point or an open dense set of points at which all 2-planes have positive curvature. We study infinite families of biquotients defined by Eschenburg and Bazaikin from this viewpoint, together with torus quotients of S 3 × S 3.

Citation

Kerin, M. (2012). On the curvature of biquotients. Mathematische Annalen, 352(1), 155-178. https://doi.org/10.1007/s00208-011-0634-7

Journal Article Type	Article
Online Publication Date	Jan 22, 2011
Publication Date	2012-01
Deposit Date	Nov 15, 2022
Publicly Available Date	Nov 15, 2022
Journal	Mathematische Annalen
Print ISSN	0025-5831
Electronic ISSN	1432-1807
Publisher	Springer
Peer Reviewed	Peer Reviewed
Volume	352
Issue	1
Pages	155-178
DOI	https://doi.org/10.1007/s00208-011-0634-7

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This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00208-011-0634-7