Fake Lens Spaces and Non-Negative Sectional Curvature
(2020)
Book Chapter
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
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 space... Read More about Fake Lens Spaces and Non-Negative Sectional Curvature.