On the dual Stiefel-Whitney classes of some Grassmann manifolds

摘要

We present some non-vanishing dual Stiefel-Whitney classes of the Grassmann manifolds O(n)/O(4) x O(n - 4) for n = 2 (s) + 2 and n = 2 (s) + 3 (s a parts per thousand 3), providing a supplement to results of Hiller, Stong, and Oproiu. Some applications are also mentioned.