Skip to main content
Log in

Abstract

In order to get results of non-embedding of flag-manifolds in the total space of sphere bundles we consider algebraic properties of these two families of manifolds.

The main theorem (2.3) gives a general a non-embedding result in terms of algebraic invariants and this theorem is applied to the case of the flag-manifolds.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Atiyah, M. F. and F. Hirzebruch,Vector bundles and homogeneous spaces, Proceedings of the Symposia in Pure Mathematics, vol. 3, AMS (1961).

  2. Bott, R.,A report on the unitary group, idem. Proceedings of the Symposia in Pure Mathematics, vol. 3, AMS (1961).

  3. Borel, A. and F. Hirzebruch,Characteristic classes and homogeneous spaces, I, Amer. J. Math., 80 (1958).

  4. Conde, A., B,genus and non-embeddings, PhD. Thesis, Chicago (1971).

  5. Connell, F. J.,Non-immersions of spin and almost spin manifolds, PhD. Thesis, Chicago (1971).

  6. Milnor, J. and J. D. Stasheff,Caracteristic classes Princeton University Press (1974).

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

do Patrocínio, A.C. Non embedding in sphere bundles. Bol. Soc. Bras. Mat 10, 1–14 (1979). https://doi.org/10.1007/BF02584626

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02584626

Keywords

Navigation