A note on nontrivial intersection for selfmaps of complex Grassmann manifolds

Thais Monis, Northon Penteado, Sergio Ura +1

Let $G(k,n)$ be the complex Grassmann manifold of $k$-planes in ${\mathbb{C}}^{k+n}$. In this note, we show that for $1<k<n$ and for any selfmap $f:G(k,n)\to G(k,n)$, there exists a $…