Vector Fields on certain quotients of complex Stiefel manifolds
Algebraic Topology
2013-11-05 v1
Abstract
We consider quotients of complex Stiefel manifolds by finite cyclic groups whose action is induced by the scalar multiplication on the corresponding complex vector space. We obtain a description of their tangent bundles, compute their mod p cohomology and obtain estimates for their span (with respect to their standard differentiable structure). We compute the Pontrjagin and Stiefel-Whitney classes of these manifolds and give applications to their stable parallelizability.
Keywords
Cite
@article{arxiv.1311.0444,
title = {Vector Fields on certain quotients of complex Stiefel manifolds},
author = {Shilpa Gondhali and Parameswaran Sankaran},
journal= {arXiv preprint arXiv:1311.0444},
year = {2013}
}