The index of certain Stiefel manifolds

Abstract

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.

arXiv commentTo appear in Journal of Fixed Point Theory and Applications

References in corpus (2)

• Topology of certain quotient spaces of stiefel manifolds
• Orthogonal shadows and index of Grassmann manifolds

Cited by in corpus (2)

• Some Observations on projective Stiefel Manifolds
• The index of equidimensional flag manifolds