Uniform bundles on quadrics

Xinyi Fang, Duo Li, Yanjie Li

We show that there exist only constant morphisms from ${\mathbb{Q}}^{2n+1}(n\ge 1)$ to $\mathbb{G}(l,2n+1)$ if $l$ is even $(0<l<2n)$ and $(l,2n+1)$ is not $(2,5)$. As an applicati…