References
R. A. Blumenthal, “Cartan submersions and Cartan foliations”, Illinois Journal of Math. 31 (1987), 327–343.
R. A. Blumenthal and J. J. Hebda, “Ehresmann connections for foliations”, Indiana University Math. Journal 33 (1984), 597–611.
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.
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.
R. A. Blumenthal and J. J. Hebda, “An analogue of the holonomy bundle for a foliated manifold”, Tôhoku Mathematical Journal 40 (1988), 189–197.
L. Eisenhart, “Riemannian geometry”, Princeton University Press, 1925.
S. Kobayashi, “Transformation groups in differential geometry”, Ergebnisse der Mathematik und ihrer Grenzgebiete, no. 70, Springer-Verlag, Berlin, 1972.
T. Ochial, “Geometry associated with semisimple flat homogeneous spaces”, Transactions A.M.S. 152 (1970), 159–193.
M. Spivak, “A comprehensive introduction to differential geometry”, vol. 4, Publish or Perish, Boston, 1970.
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00133037