@article{CM_1990__73_1_57_0, author = {El Kacimi-Alaoui, Aziz}, title = {Op\'erateurs transversalement elliptiques sur un feuilletage riemannien et applications}, journal = {Compositio Mathematica}, pages = {57--106}, publisher = {Kluwer Academic Publishers}, volume = {73}, number = {1}, year = {1990}, mrnumber = {1042454}, zbl = {0697.57014}, language = {fr}, url = {http://www.numdam.org/item/CM_1990__73_1_57_0/} }
TY - JOUR AU - El Kacimi-Alaoui, Aziz TI - Opérateurs transversalement elliptiques sur un feuilletage riemannien et applications JO - Compositio Mathematica PY - 1990 SP - 57 EP - 106 VL - 73 IS - 1 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1990__73_1_57_0/ LA - fr ID - CM_1990__73_1_57_0 ER -
El Kacimi-Alaoui, Aziz. Opérateurs transversalement elliptiques sur un feuilletage riemannien et applications. Compositio Mathematica, Tome 73 (1990) no. 1, pp. 57-106. http://www.numdam.org/item/CM_1990__73_1_57_0/
[1] Elliptic operators and compact groups. Lecture Notes in Math, no. 401 (1974). | MR | Zbl
,[2] On Kähler manifolds with vanishing canonical class. Algebraic Geometry and Topology, A symposium in honor of Lefschetz, Princeton University Press (1955), 78-79. | MR | Zbl
,[3] Flots riemanniens. Journées sur les structures transverses des feuilletages, Toulouse, Astérisque no 116 (1984). | Numdam | MR | Zbl
,[4] A survey of foliations and operator algebras. Proceedings of Symp. in Pure Math. Vol. 38 (1982). | MR | Zbl
,[5] Décomposition de Hodge basique pour un feuilletage riemannien. Ann. Inst. Fourier de Grenoble 36, 3 (1986), 207-227. | Numdam | MR | Zbl
et ,[6] La cohomologie basique d'un feuilletage riemannien est de dimension finie. Math. Z., 188 (1985), 593-599. | MR | Zbl
, et ,[7] Feuilletages riemanniens sur les variétés simplement connexes. Ann. Inst. Fourier, 34, 4 (1984), 203-223. | Numdam | MR | Zbl
,[8] Curvature and Homology. Dover Publications, Inc., New-York. | MR | Zbl
,[9] Principles of algebraic Geometry. Pure and Applied Mathematics - Interscience Series of Texts. | Zbl
, and ,[10] Pseudo-groups of local isometries. In Differential Geometry, Santiago de Compostela, Sept. 1984, 174-197. L. Cordero editor, Research notes 131, Pitman (1985). | Zbl
,[11] Foliated Bundles and Characteristic classes. Lecture Notes in Math., no. 493, Springer-Verlag (1975). | MR | Zbl
and ,[12] Hodge de Rham theory for Riemannian foliations. Math. Ann. 277, 415-431 (1987). | MR | Zbl
, and ,[13] An Index Theorem for foliations. Illinois J. of Math. Vol. 30 no. 1 (1986). | MR | Zbl
,[14] Géométrie globale des feuilletages riemanniens. Pro. Kon. Neder. Akad., Ser. A, 1, 85 (1982), 45-76. | MR | Zbl
,[15] Seminar on the Atiyah-Singer Index Theorem. Ann. of Math. Studies no. 57, Princeton University Press (1965). | MR | Zbl
,[16] Harmonic integrals on almost product manifolds. Trans. AMS, 88 (1958), 243-276. | MR | Zbl
,[17] Foliated manifold with bundle-like metric. Ann. of Math., 69 (1959), p. 119-132. | MR | Zbl
,[18] The Euler Class for flow of isometries. Research Notes in Math 131 (1985) edited by L.A. Cordero. | Zbl
,[19] Première classe de Chern et courbure de Ricci: preuve de la conjecture de Calabi - Astérisque no. 58 (1978). | Zbl
,[20] Un théorème de dualité. Comment. Math. Helv., 29, (1955), 9-26. | MR | Zbl
,[21] Differential Analysis on Complex Manifolds. G. T.M. no. 65, Springer-Verlag (1979). | Zbl
,[22] On the Ricci curvature of a compact Kählerian manifold and the complex Monge-Ampère equation. Comm. Pure and Appl. Math. XX VI (1978), 339-411. | MR | Zbl
,