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On the parallelizability of generalized complex projective Stiefel manifolds

Published online by Cambridge University Press:  12 July 2007

L. Astey ,
E. Micha  and
G. Pastor
L. Astey
Affiliation:
Departamento de Matemáticas, Centro de Investigación del IPN, Apartado Postal 14-740, México 07000 DFlastey@math.cinvestav.mx
E. Micha
Affiliation:
Departamento de Matemáticas, Centro de Investigación del IPN, Apartado Postal 14-740, México 07000 DFemicha@math.cinvestav.mx
G. Pastor
Affiliation:
Instituto Tecnológico Autónomo de México, Rio Hondo No. 1, San Angel, México 01000 DF (pastor@itam.mx)
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 3 , June 2003 , pp. 497 - 504
Copyright
Copyright © Royal Society of Edinburgh 2003

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