Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics

Diego Corro, Karla Garcia, Martin Günther +1

Let $E$ be a smooth bundle with fiber an $n$-dimensional real projective space $\mathbb{R}{P}^n$. We show that, if every fiber carries a positively curved pointwise strongly $1/4$-pi…