On Complexes Equivalent to ${\mathbb{S}}^3$-bundles over ${\mathbb{S}}^4$

Nitu Kitchloo, Krishnan Shankar

There has been renewed interest in ${\mathbb{S}}^3$-bundles over ${\mathbb{S}}^4$ since K. Grove and W. Ziller constructed metrics on nonnegative curvature on the total spaces of these…