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On the curvature of biquotients

Kerin, Martin (2012) 'On the curvature of biquotients.', Mathematische Annalen, 352 (1). pp. 155-178.


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.

Item Type:Article
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Publisher statement: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:
Date accepted:No date available
Date deposited:15 November 2022
Date of first online publication:22 January 2011
Date first made open access:15 November 2022

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