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Vector fields on certain quotients of complex Stiefel manifolds
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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.
Title: Vector fields on certain quotients of complex Stiefel manifolds
Description:
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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