Nonimmersions of flag manifolds

Ilori, S. A.

doi:10.1090/S0002-9939-1976-0424840-4

Nonimmersions of flag manifolds
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by S. A. Ilori PDF

Proc. Amer. Math. Soc. 61 (1976), 141-144 Request permission

Abstract:

Certain useful quadratic identities in the cohomology of classifying spaces induce quadratic equations in the cohomology of a manifold $M$ under the classifying map for the normal bundle of $M$. In low dimensional flag manifolds, one can show that the quadratic equation has no root, thus establishing a nonimmersion.

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Anneaux de Chow et applications

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