Skip to main content
SpringerLink
Log in

Vector fields on real flag manifolds

  • Published:
Annals of Global Analysis and Geometry Aims and scope Submit manuscript

Abstract

In this paper we give, besides some estimation of the span, the solution to the parallelizability of real flag manifolds.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bartik, V. and Korbaš, J.: Stiefel-Whitney characteristic classes and parallelizability of Grassmann manifolds, to appear in Proceedings of the 12-th Winter School on Abstract Analysis, Churáňov, Czechoslovakia, 1984 (Supl. Rend. Circ. Mat. Palermo)

  2. Borel, A: La cohomologie mod 2 de certains espaces homogènes, Comment. Math. Helvetici, 27 (1953), 165–197

    Google Scholar 

  3. Hiller, H. and Stong, R. E.: Immersion dimension for real grassmannians, Math. Ann., 255 (1981), 361–367

    Google Scholar 

  4. Hurwitz, A.: Über die Komposition der quadratischen Formen, Math. Ann. 88 (1923), 1–25

    Google Scholar 

  5. Lam, K. Y.: A formula for the tangent bundle of flag manifolds and related manifolds, Trans. Amer. Math. Soc. 213 (1975), 305–314.

    Google Scholar 

  6. Leite, M. L. and Miatello, I. D.: Linear vector fields on \~Gk(Rn), Proc. Amer. Math. Soc., 80 (1980), 673–677.

    Google Scholar 

  7. Miatello, I. D. and Miatello, R. J.: On stable parallelizability of \~Gk,n and related manifolds, Math. Ann. 259 (1982), 343–350.

    Google Scholar 

  8. Radon, J.: Lineare Scharen orthogonaler Matrizen, Abh. Math. Sem. Univ. Hamburg 1 (1922), 1–14.

    Google Scholar 

  9. Thomas, E.: On tensor products of n-plane bundles, Arch. Math. X (1959), 174–179

    Google Scholar 

  10. Thomas, E.: Vector fields on manifolds, Bull. Amer. Math. Soc., 75 (1969), 643–683

    Google Scholar 

  11. Yoshida, T.: Parallelizability of Grassmann manifolds, Hiroshima Math. J., 5 (1975), 193–196.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Katedra matematiky VŠDS, Marxa-Engelsa 25, 010 88, Zilina, Czechoslovakia

    Július Korbaš

Authors
  1. Július Korbaš
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Korbaš, J. Vector fields on real flag manifolds. Ann Glob Anal Geom 3, 173–184 (1985). https://doi.org/10.1007/BF01000338

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01000338

Keywords

Search

Navigation