The index of certain Stiefel manifolds
Algebraic Topology
2024-10-02 v2 Metric Geometry
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 -groups. The results are shown to imply certain generalizations of the Kakutani-Yamabe-Yujobo theorem.
Keywords
Cite
@article{arxiv.2103.02500,
title = {The index of certain Stiefel manifolds},
author = {Samik Basu and Bikramjit Kundu},
journal= {arXiv preprint arXiv:2103.02500},
year = {2024}
}
Comments
To appear in Journal of Fixed Point Theory and Applications