Sur la cohomologie feuilletée

Aziz El Kacimi-Alaoui

Compositio Mathematica (1983)

  • Volume: 49, Issue: 2, page 195-215
  • ISSN: 0010-437X

How to cite

top

El Kacimi-Alaoui, Aziz. "Sur la cohomologie feuilletée." Compositio Mathematica 49.2 (1983): 195-215. <http://eudml.org/doc/89610>.

@article{ElKacimi1983,
author = {El Kacimi-Alaoui, Aziz},
journal = {Compositio Mathematica},
keywords = {differential along the leaves; sheaf of germs of basic p-forms; invariant by integrable homotopy; Mayer-Vietoris theorem; cohomology for foliated manifolds},
language = {fre},
number = {2},
pages = {195-215},
publisher = {Martinus Nijhoff Publishers},
title = {Sur la cohomologie feuilletée},
url = {http://eudml.org/doc/89610},
volume = {49},
year = {1983},
}

TY - JOUR
AU - El Kacimi-Alaoui, Aziz
TI - Sur la cohomologie feuilletée
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 49
IS - 2
SP - 195
EP - 215
LA - fre
KW - differential along the leaves; sheaf of germs of basic p-forms; invariant by integrable homotopy; Mayer-Vietoris theorem; cohomology for foliated manifolds
UR - http://eudml.org/doc/89610
ER -

References

top
  1. [1] T. Duchamp: Deformation theory of holomorphic foliations. J. Diff. Geom. 14 (1979) 317-337. Zbl0451.57015MR594704
  2. [2] C. Godbillon: Eléments de topologie algébrique. Hermann, Paris (1971). Zbl0218.55001MR301725
  3. [3] R. Godement: Topologie algébrique et théorie des faisceaux. Hermann, Paris (1958). Zbl0080.16201MR102797
  4. [4] A. Haefliger: Homotopy, Integrability. Amsterdam, Springer Lectures Notes, N° 197. Zbl0215.52403MR285027
  5. [5] A. Haefliger: Some remarks on foliations with minimal leaves. J. Diff. Geom. 15, n° 2 (1980). Zbl0444.57016MR614370
  6. [6] S.R. Hamilton: Deformation theory of foliations. Preprint Cornell University. 
  7. [7] J.L. Heitsch: A cohomology of foliated manifolds. Comment. Math. Helviti50 (1975) 197-218. Zbl0311.57014MR372877
  8. [8] K. Kodaira and D.C. Spencer: Multifoliate Structures. Ann. Math. 74 (1961) 52-100. Zbl0123.16401MR148086
  9. [9] P. Molino: Propriétés cohomologiques et propriétés topologiques des feuilletages à connexion transverse projetable. Topology12 (1973). Zbl0269.57014MR353332
  10. [10] G. Reeb: Sur certaines propriétés topologiques des variétés feuilletées. Act. Sci. et Ind.Hermann, Paris (1952). Zbl0049.12602MR55692
  11. [11] B.L. Reinhart: Harmonic integrals on almost product manifolds. Trans. A.M.S. 88 (1958) 243-276. Zbl0081.31602MR104937
  12. [12] G. De Rham: Variétés différentiables. Act. Sci. et Ind. Hermann, Paris. Zbl0284.58001
  13. [13] C. Roger: Méthodes homotopiques et cohomologiques en théorie des feuilletages. Thèse, Orsay (1976). 
  14. [14] K.F. Roth and Davenport: Rational approximations of algebraic numbers. Mathematika2 (1955) 160-167. Zbl0066.29302MR72182
  15. [15] K.S. Sarkaria: The de Rham cohomology of foliated manifolds, thesis, SUNY, Stony Brook, 1974. 
  16. [16] S. Sternberg: Local C'' transformations of the real line. Duke. Math. J. 24 (1957) 97-102. Zbl0077.06201MR102581
  17. [17] D. Sullivan: Cycles for the dynamical study of foliated manifolds and complex manifolds. Inventiones Math.36 (1978) 225-255. Zbl0335.57015MR433464
  18. [18] I. Vaisman: Cohomology and differential forms. Dekker (1973). MR341344
  19. [19] I. Vaisman: Variétés riemanniennes feuilletées. Czechosl. Math. J.21 (1971) 46-75. Zbl0212.54202MR287572
  20. [20] I. Vaisman: Sur la cohomologie des variétés riemanniennes feuilletées. C.R. Acad. Sc. Paris, t. 268, Séries A, p. 720-723. Zbl0175.20302MR248686

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.