Quasi-positive curvature on Bazaikin spaces
Differential Geometry
2021-07-08 v1
Abstract
We completely characterize the sectional curvature of all of the -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.
Keywords
Cite
@article{arxiv.2107.03351,
title = {Quasi-positive curvature on Bazaikin spaces},
author = {Jason DeVito and Evan Sherman},
journal= {arXiv preprint arXiv:2107.03351},
year = {2021}
}