K. Mukherjea et P. Sankaran, INVARIANT POINTS OF MAPS BETWEEN GRASSMANNIANS, Proceedings of the American Mathematical Society, 124(2), 1996, pp. 649-653
We show that for a very large class of integers l < k ( n and an) map
f: G(k)(R(n)) --> G(l)(R(n)) between Grassmannians; there is some k-pl
ane of R(n) which is mapped into a subspace of itself.