摘要
As we know, the problem of immersing the real projective spaces （special Grassmannians） in Euclidean spaces was very much studied by different methods. It would be interesting to study the same problem for the Grassmann manifolds. Let <sub>m,n</sub> (G<sub>m,n</sub> be the oriented （unoriented resp.） Grassmann manifold of the oriented （unoriented resp.）, m-dimensional vector subspaces of the vector space R<sup>m+n</sup>. Then <sub>m,n</sub>
