Geodesic
Cohomology of Complex Projective Stiefel Manifolds
Canadian journal of mathematics, Tome 51 (1999) no. 5, pp. 897-914

Voir la notice de l'article provenant de la source Cambridge University Press

The cohomology algebra mod $p$ of the complex projective Stiefel manifolds is determined for all primes $p$ . When $p=2$ we also determine the action of the Steenrod algebra and apply this to the problem of existence of trivial subbundles of multiples of the canonical line bundle over a lens space with 2-torsion, obtaining optimal results in many cases.
DOI : 10.4153/CJM-1999-039-2
Mots-clés : 55N10, 55S10 
Astey, L.; Gitler, S.; Micha, E.; Pastor, G. Cohomology of Complex Projective Stiefel Manifolds. Canadian journal of mathematics, Tome 51 (1999) no. 5, pp. 897-914. doi: 10.4153/CJM-1999-039-2
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