Nonimmersions of low dimensional flag manifolds-Reference-Cited by-同舟云学术

Nonimmersions of low dimensional flag manifolds

Published:1974 Issue:2 Volume:44 Page:474-478
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Connell Fred J.

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1974-044-02/S0002-9939-1974-0343295-X/S0002-9939-1974-0343295-X.pdf

Reference10 articles.

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2. Vector bundles and homogeneous spaces;Atiyah, M. F.,1961

3. Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts;Borel, Armand;Ann. of Math. (2),1953

4. Characteristic classes and homogeneous spaces. I;Borel, A.;Amer. J. Math.,1958

5. Non-immersion theorems for complex and quaternionic projective spaces;Feder, S.;Bol. Soc. Mat. Mexicana (2),1966

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