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arXiv · 2107.03351

Quasi-positive curvature on Bazaikin spaces

Jason DeVito·Evan Sherman
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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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Jason DeVito, Evan Sherman. 2021-07-07. Quasi-positive curvature on Bazaikin spaces. https://arxiv.org/abs/2107.03351

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