Skip to main content
Log in

De Rham-Hodge theory for Riemannian foliations

  • Published:
Mathematische Annalen 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. Alaoui, A., Hector, G.: Decomposition de Hodge sur l'espace des feuilles d'un feuilletage riemannien. C.R. Acad. Sci. Paris298, 289–292 (1984)

    Google Scholar 

  2. Alaoui, A., Hector, G.: Décomposition de Hodge basique pour un feuilletage riemannien. Ann. Inst. Fourier36, 207–227 (1986)

    Google Scholar 

  3. Alaoui, A., Sergiescu, V., Hector, G.: La cohomologie basique d'un feuilletage riemannien est de dimension finie. Math. Z.188, 593–599 (1985)

    Google Scholar 

  4. Eells, J.: Elliptic operators on manifolds. Compl. Anal. Appl. (Trieste)1, 95–152 (1975)

    Google Scholar 

  5. Kamber, F., Ruh, E., Tondeur, Ph.: Almost transversally symmetric foliations. Proc. of the II. Intern. Symp. on Differential Geometry, Peniscola (1985). Lect. Notes Math. 1209, pp. 184–189, Berlin, Heidelberg, New York: Springer 1986

    Google Scholar 

  6. Kamber, F., Ruh, E., tondeur, Ph.: Comparing Riemannian foliations with transversaily symmetric foliations (to appear)

  7. Kamber, F., Tondeur, Ph.: Foliated bundles and characteristic classes. Lect. Notes Math. 493, pp. 1–208. Berlin, Heidelberg, New York: Springer 1975

    Google Scholar 

  8. Kamber, F., Tondeur, Ph.: Harmonic Foliations, Proc. NSF Conference on Harmonic Maps, Tulane University (1980). Lect. Notes Math. 949, pp. 87–121, Berlin, Heidelberg, New York: Springer 1982

    Google Scholar 

  9. Kamber, F., Tondeur, Ph.: Dualité de Poincaré pour les feuilletages harmoniques. C.R. Acad. Sci. Paris294, 357–359 (1982)

    Google Scholar 

  10. Kamber, F., Tondeur, Ph.: Duality for Riemannian foliations. Proc. Symp. Pure Math.40, 609–618 (1983)

    Google Scholar 

  11. Kamber, F., Tondeur, Ph.: Foliations and metrics. Proc of the 1981–82 year in differential geometry, University of Maryland. Progr. Math.32, 103–152 (1983)

    Google Scholar 

  12. Kamber, F., Tondeur, Ph.: Duality theorems for foliations. Astérisque116, 108–116 (1984)

    Google Scholar 

  13. Molino, P.: Feuilletages riemanniens sur les variétés compactes. C.R. Acad. Sci. Paris289, 421–423 (1982)

    Google Scholar 

  14. Molino, P.: Géométrie globale des feuilletages Riemanniens. Proc. K. Ned. Akad. Ser. A85, 45–76 (1982)

    Google Scholar 

  15. Reinhart, B.: Foliated manifolds with bundle-like metrics. Ann. Math.69, 119–132 (1959)

    Google Scholar 

  16. Rummler, H.: Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts. Comment. Math. Helv.54, 224–239 (1979)

    Google Scholar 

  17. Warner, F.: Foundations of differentiable manifolds and Lie groups. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work supported in part by a grant from the National Science Foundation

Supported in part by the Max-Planck-Institut für Mathematik, Bonn, FRG

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kamber, F.W., Tondeur, P. De Rham-Hodge theory for Riemannian foliations. Math. Ann. 277, 415–431 (1987). https://doi.org/10.1007/BF01458323

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458323

Keywords

Navigation