4 papers · 1 filter
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…
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…
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…
Cohomogeneity one manifolds with singly generated rational cohomology
Jason DeVito, Lee Kennard
We classify simply connected, closed cohomogeneity one manifolds with singly generated or 4-periodic rational cohomology and positive Euler characteristic.