Skip to main content

A structure theorem for multiaxial actions and some of its consequences

  • Chapter
  • First Online:
Multiaxial Actions on Manifolds

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 643))

  • 227 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Bierstone, Lifting isotopies from orbit spaces, Topology, (1975), 245–252.

    Google Scholar 

  2. G. Bredon, Transformation groups on spheres with two types of orbits, Topology, 3 (1965), 103–113.

    Article  MathSciNet  MATH  Google Scholar 

  3. _____, Introduction to Compact Transformation Groups, Academic Press, New York, 1972.

    MATH  Google Scholar 

  4. _____, Biaxial actions, mimeographed notes, Rutgers University, 1973.

    Google Scholar 

  5. W. Browder and F. Quinn, A surgery theory for G-manifolds and stratified sets, Manifolds, University of Tokyo Press, 1973, 27–36.

    Google Scholar 

  6. M. Davis, Smooth actions of the classical groups, Thesis, Princeton University, 1974.

    Google Scholar 

  7. _____, Smooth G-manifolds as collections of fiber bundles, to appear in Pac. J. of Math.

    Google Scholar 

  8. D. Gromoll and W. Meyer, An exotic sphere with nonnegative sectional curvature, Ann. of Math., 100 (1974), 447–490.

    Article  MathSciNet  Google Scholar 

  9. W.C. Hsiang and W.Y. Hsiang, Differentiable actions of compact connected classical groups: I. Amer. J. Math., 89 (1967), 705–786.

    Article  MathSciNet  MATH  Google Scholar 

  10. K. Jänich, Differenzierbare Mannigfaltigkeiten mit Rand als Orbitraume differenzierbarer G-Mannigfaltigkeiten ohne Rand, Topology, 5 (1966), 301–329.

    Article  MathSciNet  MATH  Google Scholar 

  11. _____, On the classification of O(n)-manifolds, Math. Ann., 176 (1968), 53–76.

    Article  MathSciNet  MATH  Google Scholar 

  12. J. Levine, A classification of differentiable knots, Ann. of Math., 82 (1965), 15–50.

    Article  MathSciNet  MATH  Google Scholar 

  13. _____, Semifree circle actions on spheres, Inv. Math., 22 (1973), 161–186.

    Article  MATH  Google Scholar 

  14. W.S. Massey, Imbeddings of projective planes and related manifolds in spheres, Indiana Math. J., 23 (1974), 791–812.

    Article  MathSciNet  MATH  Google Scholar 

  15. R.S. Palais, The Classification of G-spaces, Mem. Amer. Math. Soc., 36 (1960).

    Google Scholar 

  16. G. Schwarz, Covering smooth homotopies of orbit spaces, to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Davis, M. (1978). A structure theorem for multiaxial actions and some of its consequences. In: Multiaxial Actions on Manifolds. Lecture Notes in Mathematics, vol 643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065348

Download citation

  • DOI: https://doi.org/10.1007/BFb0065348

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08667-3

  • Online ISBN: 978-3-540-35911-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics