The index of certain Stiefel manifolds
摘要
This paper computes the Fadell–Husseini index of Stiefel manifolds in the case where the group acts via permutations of the orthogonal vectors. The computations are carried out in the case of elementary Abelian p-groups. The results are shown to imply certain generalizations of the Kakutani–Yamabe–Yujobo theorem.