Skip to main content
Log in

A sufficient condition for the leaves of a totally umbilic foliation to be conformally complete

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

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. R. A. Blumenthal, “Cartan submersions and Cartan foliations”, Illinois Journal of Math. 31 (1987), 327–343.

    Google Scholar 

  2. R. A. Blumenthal and J. J. Hebda, “Ehresmann connections for foliations”, Indiana University Math. Journal 33 (1984), 597–611.

    Google Scholar 

  3. R. A. Blumenthal and J. J. Hebda, “Complementary distributions which preserve the leaf geometry and applications to totally geodesic foliations”, Quarterly J. Math. Oxford 35 (1984), 383–392.

    Google Scholar 

  4. R. A. Blumenthal and J. J. Hebda, “Un analogue de la nappe d'holonomie pour une variété feuilletée”, Comptes Rendus de l'Académie des Sciences, Série I, Paris 303 (1986), 931–934.

    Google Scholar 

  5. R. A. Blumenthal and J. J. Hebda, “An analogue of the holonomy bundle for a foliated manifold”, Tôhoku Mathematical Journal 40 (1988), 189–197.

    Google Scholar 

  6. L. Eisenhart, “Riemannian geometry”, Princeton University Press, 1925.

  7. S. Kobayashi, “Transformation groups in differential geometry”, Ergebnisse der Mathematik und ihrer Grenzgebiete, no. 70, Springer-Verlag, Berlin, 1972.

    Google Scholar 

  8. T. Ochial, “Geometry associated with semisimple flat homogeneous spaces”, Transactions A.M.S. 152 (1970), 159–193.

    Google Scholar 

  9. M. Spivak, “A comprehensive introduction to differential geometry”, vol. 4, Publish or Perish, Boston, 1970.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blumenthal, R.A., Hebda, J.J. A sufficient condition for the leaves of a totally umbilic foliation to be conformally complete. Ann Glob Anal Geom 6, 165–175 (1988). https://doi.org/10.1007/BF00133037

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00133037

Keywords

Navigation