Hiroshima Mathematical Journal

Remarks on extendible vector bundles over lens spaces and real projective spaces

Teiichi Kobayashi, Haruo Maki, and Toshio Yoshida

Full-text: Open access

Article information

Source
Hiroshima Math. J., Volume 5, Number 3 (1975), 487-497.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206136541

Digital Object Identifier
doi:10.32917/hmj/1206136541

Mathematical Reviews number (MathSciNet)
MR0385857

Zentralblatt MATH identifier
0314.55028

Subjects
Primary: 55F50

Citation

Kobayashi, Teiichi; Maki, Haruo; Yoshida, Toshio. Remarks on extendible vector bundles over lens spaces and real projective spaces. Hiroshima Math. J. 5 (1975), no. 3, 487--497. doi:10.32917/hmj/1206136541. https://projecteuclid.org/euclid.hmj/1206136541


Export citation

References

  • [1] J. F.Adams, Vectorfieldsonspheres, Ann.of Math. 75 (1962), 603-632.
  • [2] F. Hirzebruch, Topological Methods in AlgebraicGeometry, 3rd ed., Appendix by R. L. E. Schwarzenberger, Berlin, NewYork, Springer-Verlag, 1966.
  • [3] T. Kambe, The structure of K^-rings of the lens space and their applications, J. Math. Soc. Japan, 18 (1966), 135-146.
  • [4] T. Kobayashi, Note on -operations in KO-theory,Hiroshima Math. J. 4 (1974), 425- 434.
  • [5] H.Maki, Extendible vector bundles over lens spaces mod3, Osaka J. Math. 7(1970), 397-407.
  • [6] R. L. E. Schwarzenberger, Extendible vector bundles over real projective space, Quart.J. Math. Oxford (2),17 (1966), 19-21.
  • [7] D.Sjerve, Geometric dimension of vector bundles overlens spaces, Trans. Amer. Math. Soc. 134 (1968), 545-557.
  • [8] D.Sjerve, Vector bundles over orbit manifolds, Trans. Amer. Math. Soc. 138 (1969), 97-106.
  • [9] T. Yoshida, A remarkon vector fields on lens spaces, J. Sci. Hiroshima Univ. Ser. A-I, 31 (1967), 13-15.