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Quasi-positive curvature on Bazaikin spaces

2021/07/07 by Jason DeVito, DeVito, Jason, Evan Sherman +1
Mathematics · Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Dermatological and Skeletal Disorders #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.2107.03351

Abstract

We completely characterize the sectional curvature of all of the 13-dimensional Bazaikin spaces. In particular, we show that all Bazaikin spaces admit a quasi-positively curved Riemannian metric, and that, up to isometry, there is a unique Bazaikin space which is almost positively curved but not positively curved.

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