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arXiv · 1311.0444

Vector Fields on certain quotients of complex Stiefel manifolds

Shilpa Gondhali·Parameswaran Sankaran
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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.

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Shilpa Gondhali, Parameswaran Sankaran. 2013-11-03. Vector Fields on certain quotients of complex Stiefel manifolds. https://arxiv.org/abs/1311.0444

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