Fake Lens Spaces and Non-Negative Sectional Curvature

Goette, Sebastian; Kerin, Martin; Shankar, Krishnan

Abstract

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.

Citation

Goette, S., Kerin, M., & Shankar, K. (2020). Fake Lens Spaces and Non-Negative Sectional Curvature. In O. Dearricott, W. Tuschmann, Y. Nikolayevsky, T. Leistner, & D. Crowley (Eds.), Differential Geometry in the Large (285-290). Cambridge University Press. https://doi.org/10.1017/9781108884136.016

• Online Publication Date: Oct 6, 2020
• Publication Date: 2020
• Deposit Date: Nov 15, 2022
• Publicly Available Date: Nov 15, 2022
• Publisher: Cambridge University Press
• Pages: 285-290
• Series Title: London Mathematical Society Lecture Note Series
• Series Number: 463
• Book Title: Differential Geometry in the Large
• ISBN: 9781108884136
• DOI: https://doi.org/10.1017/9781108884136.016
• Public URL: https://durham-repository.worktribe.com/output/1619726