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math.DG2021
Cohomogeneity one manifolds with singly generated rational cohomology II
Jason DeVito
We classify cohomogeneity one actions on smooth, simply connected, closed manifolds with the rational cohomology of a sphere. In particular, we show that such a manifold is diffeom…
math.DG2021
Quasi-positive curvature on Bazaikin spaces
Jason DeVito, Evan Sherman
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 R…
math.DG2021
Biquotient vector bundles with no inverse
Jason DeVito, David González-Álvaro
In previous work, the second author and others have found conditions on a homogeneous space which imply that, up to stabilization, all vector bundles over admit Riemann…