A measure of non-immersability of the Grassmann manifolds in some euclidean spaces
Cornel Pintea · Proceedings of the Edinburgh Mathematical Society · 1998
LetGk, n, be the Grassmann manifold consisting in all non-orientedk-dimensional vector subspaces of the spaceRk+n. In this paper we will show that any differentiable mappingf:Gk, n→Rm, has infinitely many critical points for suitable choices of the numbersm,n,k.