Skip to main content
Log in

Transformation groups on complex Stiefel manifolds

  • Published:
Acta Mathematica

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.

References

  1. Allday, C. &Halperin, S., Lie group actions on spaces of finite rank.Quart. J. Math. Oxford Ser. (2), 29 (1978), 63–76.

    MATH  MathSciNet  Google Scholar 

  2. Borel, A. Et al., Seminar on transformation groups.Ann. of Math. Stud. 46. Princeton, N.J. Princeton University Press, 1961.

    MATH  Google Scholar 

  3. Borel, A., Sur la cohomologie des espaces fibrès principaux et des espaces homogènes de groupes de Lie compacts.Ann. of Math., 57 (1953), 115–207.

    Article  MATH  MathSciNet  Google Scholar 

  4. —, La cohomologie mod 2 de certains espaces homogènes.Comment. Math. Helv., 27 (1953), 165–197.

    MATH  MathSciNet  Google Scholar 

  5. Borel, A. &Hirzebruch, F., Characteristic classes and homogeneous spaces. I:Amer. J. Math., 80 (1958), 485–538. II: 81 (1959), 351–382, III: 82 (1960), 491–504.

    Article  MathSciNet  Google Scholar 

  6. Borel, A. &Serre, J.-P., Groupes de Lie et puissances reduites de Steenrod.Amer. J. Math., 75 (1953), 409–448.

    Article  MATH  MathSciNet  Google Scholar 

  7. Davis. M., Multiaxial actions on manifolds.Springer Lecture Notes in Math. 643. Berlin 1978.

  8. Dold, A., Über fasernweise Homotopieäquivalenz von Faserräumen.Math. Z., 62 (1955), 111–136.

    Article  MATH  MathSciNet  Google Scholar 

  9. Hsiang, W. Y.,Cohomology theory of topological transformation groups. Erg. der Math. Bd. 85. Springer Verlag. 1975.

  10. Hsiang, W. Y., On characteristic, classes of compact homogeneous spaces and their applications in compact transformation groups. To appear.

  11. Hsiang, W. Y. &Su, J. C., On the classification of transitive effective actions on Stiefel manifolds.Trans. Amer. Math. Soc., 130 (1968), 322–336.

    Article  MATH  MathSciNet  Google Scholar 

  12. James, I. M.,The topology of Stiefel manifolds. London Math. Ser. Lect. Not. 24. Cambridge Univ. Press (1976).

  13. Suter, U., Die nicht-existenz von Schnittflachen Komplexes Stiefel Mannigfaltigkeiten.Math. Z., 113 (1970), 196–204.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Acknowledgements. The second author expresses his gratitude for a travel grant from the Norwegian Council for the Science and Humanities (NAVF), which enabled him to visit the University of California in the summer 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hsiang, WY., Tomter, P. Transformation groups on complex Stiefel manifolds. Acta Math 152, 107–126 (1984). https://doi.org/10.1007/BF02392193

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392193

Keywords

Navigation