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Vector fields on certain quotients of complex Stiefel manifolds

In: Mathematica Slovaca, vol. 63, no. 4
Shilpa Gondhali - Parameswaran Sankaran

Details:

Year, pages: 2013, 883 - 896
Keywords:
$m$-projective Stiefel manifolds, span, stable span, parallelizability, cohomology, characteristic classes
About article:
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.
How to cite:
ISO 690:
Gondhali, S., Sankaran, P. 2013. Vector fields on certain quotients of complex Stiefel manifolds. In Mathematica Slovaca, vol. 63, no.4, pp. 883-896. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0142-1

APA:
Gondhali, S., Sankaran, P. (2013). Vector fields on certain quotients of complex Stiefel manifolds. Mathematica Slovaca, 63(4), 883-896. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0142-1
About edition: