|
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
Retrieve article in:
PDF
This article is available free of charge
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
-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
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
57R25
Retrieve articles in all Journals with
MSC (1991):
57R25
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
|