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Fake Lens Spaces and Non-Negative Sectional Curvature

Goette, Sebastian and Kerin, Martin and Shankar, Krishnan (2020) 'Fake Lens Spaces and Non-Negative Sectional Curvature.', in Differential Geometry in the Large. , pp. 285-290. London Mathematical Society Lecture Note Series., 463


In this short note we observe the existence of free, isometric actions of finite cyclic groups on a family of 2-connected 7-manifolds with non-negative sectional curvature. This yields many new examples including fake, and possible exotic, lens spaces.

Item Type:Book chapter
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Publisher statement:This material has been published in Differential Geometry in the Large edited by Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner, Diarmuid Crowley. This version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University Press
Date accepted:No date available
Date deposited:15 November 2022
Date of first online publication:06 October 2020
Date first made open access:15 November 2022

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