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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Parallelizability of complex projective Stiefel manifolds

Author(s): L. Astey; S. Gitler; E. Micha; G. Pastor
Journal: Proc. Amer. Math. Soc. 128 (2000), 1527-1530.
MSC (1991): Primary 57R25
Posted: August 17, 1999
MathSciNet review: 1670418
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Abstract | References | Similar articles | Additional information

Abstract: The question of parallelizability of the complex projective Stiefel manifolds is settled.


References:

[1]
J.F. Adams, Vector fields on spheres, Ann. of Math. 75 (1962), 603-632. MR 25:2614
[2]
L. Astey, S. Gitler, E. Micha, G. Pastor, Cohomology of complex projective Stiefel manifolds, to appear in Canad. J. Math.
[3]
L. Astey, E. Micha, G. Pastor, Homeomorphism and diffeomorphism types of Eschenburg spaces, Diff. Geom. Appl. 7 (1997), 41-50. MR 98h:53072
[4]
G.E. Bredon and A. Kosinski, Vector fields on $\pi$-manifolds, Ann. of Math. (2) 84 (1966), 85-90. MR 34:823
[5]
J. Milnor and J.D. Stasheff, Characteristic classes, Annals of Mathematics Studies No. 76. Princeton Univ. Press, Princeton, New Jersey. MR 55:13428
[6]
E. Thomas, Cross-sections of stably equivalent vector bundles, Quart. J. Math. Oxford Ser. (2) 17 (1966) 53-57. MR 33:4933


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Additional Information:

L. Astey
Affiliation: Centro de Investigación del IPN, Apartado Postal 14-740, México 07000 D.F.
Email: lastey@math.cinvestav.mx

S. Gitler
Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627-0001
Email: sgitler@math.rochester.edu

E. Micha
Affiliation: Centro de Investigación del IPN, Apartado Postal 14-740, México 07000 D.F.
Email: emicha@math.cinvestav.mx

G. Pastor
Affiliation: Instituto Tecnológico Autónomo de México, Rio Hondo No. 1, San Angel, México 01000 D.F.
Email: pastor@gauss.rhon.itam.mx

DOI: 10.1090/S0002-9939-99-05372-1
PII: S 0002-9939(99)05372-1
Received by editor(s): June 19, 1998
Posted: August 17, 1999
Additional Notes: The second author was partially supported by an NSF grant.
Communicated by: Ralph Cohen
Copyright of article: Copyright 2000, American Mathematical Society




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