On uniform and nonhomogeneous vector bundles over Grassmannians

Rong Du, Yiting Wang, Dazhi Zhang

We demonstrate the existence of a uniform and nonhomogeneous vector bundle $E$ of rank $(n-d)(m+1)-1$ over Grassmannian $\mathbb{G}(d,n)$, where $m>d$ and $1\le d\le n-d-1$ with a…