Skip to main content
SpringerLink
Log in

Groupes deLie compacts de transformations de l'espace euclidien et les sphères comme espaces homogènes

  • Published:
Commentarii Mathematici Helvetici

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

Bibliographie

  1. R.H. Bing,A homeomorphism between the 3-sphere and the sum of two solid horned spheres, Ann. of Math., 56 (1952), 354–362.

    Article  MathSciNet  Google Scholar 

  2. A. Borel,Les bouts des espaces homogènes de groupes de Lie, Ann. of Math., 58 (1953), 443–457.

    Article  MathSciNet  Google Scholar 

  3. A. Borel,Some remarks about Lie groups transitive on spheres and tori, Bull. Amer. Math. Soc., 55 (1949) 580–586.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Borel,Le plan projectif des octaves et les sphères comme espaces homogènes, C. R. Acad. Sci. Paris, 230 (1950), 1378–1381.

    MathSciNet  MATH  Google Scholar 

  5. E. Cartan,Théorie des spineurs, Vol. II.

  6. E. Cartan,Théorie des groupes finis et continus et l'analysis situs, Mémorial des sciences mathématiques, 1930.

  7. D. Montgomery, L. Zippin,Topological transformation groups, New-York, 1955.

  8. D. Montgomery, L. Zippin,Examples of transformation groups, Proc. Amer. Math. Soc., 5 (1954), 460–465.

    Article  MathSciNet  MATH  Google Scholar 

  9. D. Montgomery, H. Samelson, C. T. Yang,Groups on E n with (n−2)-dimensional orbits, Proc. Amer. Math. Soc., 7 (1956), 719–728.

    Article  MathSciNet  MATH  Google Scholar 

  10. D. Montgomery, H. Samelson Transformation groups on spheres, Ann. of Math., 44 (1943). 454–470.

    Article  MathSciNet  Google Scholar 

  11. J. Poncet,Groupes de Lie compacts de transformations, C. R. Acad. Sci., Paris, 245 (1957), 13–15.

    MathSciNet  MATH  Google Scholar 

  12. H. Weyl,Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen, II, III Math. Zeitschrift, 24 (1925), 328–395.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Zurich

    Jean Poncet

Authors
  1. Jean Poncet
    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

Poncet, J. Groupes deLie compacts de transformations de l'espace euclidien et les sphères comme espaces homogènes. Commentarii Mathematici Helvetici 33, 109–120 (1959). https://doi.org/10.1007/BF02565911

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02565911

Search

Navigation