Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Nonimmersions of flag manifolds

Author: S. A. Ilori
Journal: Proc. Amer. Math. Soc. 61 (1976), 141-144
MSC: Primary 14M15; Secondary 57D40
MathSciNet review: 0424840
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 14M15, 57D40

Retrieve articles in all journals with MSC: 14M15, 57D40

Additional Information

Keywords: Normal bundle, Chern class, Pontryagin class, Euler class, classifying space
Article copyright: © Copyright 1976 American Mathematical Society