On the parallelizability of generalized complex projective Stiefel manifolds

Author: Astey L.   Micha E.   Pastor G.  

Publisher: Royal Society of Edinburgh

ISSN: 1473-7124

Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh, Vol.133, Iss.3, 2003-06, pp. : 497-504

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Abstract

We address the problem of parallelizability and stable parallelizability of a family of manifolds that are obtained as quotients of circle actions on complex Stiefel manifolds. We settle the question in all cases but one, and obtain in the remaining case a partial result.