The Characteristic Classes of Flat and of Partially Flat Regular Lie Algebroids over Foliated Manifolds
Publications du Département de mathématiques (Lyon), no. 2 (1994), pp. 7-126. 
@article{PDML_1994___2_7_0,
     author = {Kubarski, Jan},
     title = {The {Characteristic} {Classes} of {Flat} and of {Partially} {Flat} {Regular} {Lie} {Algebroids} over {Foliated} {Manifolds}},
     journal = {Publications du D\'epartement de math\'ematiques (Lyon)},
     pages = {7--126},
     publisher = {Universit\'e Claude Bernard - Lyon 1},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://www.numdam.org/item/PDML_1994___2_7_0/}
}
TY  - JOUR
AU  - Kubarski, Jan
TI  - The Characteristic Classes of Flat and of Partially Flat Regular Lie Algebroids over Foliated Manifolds
JO  - Publications du Département de mathématiques (Lyon)
PY  - 1994
SP  - 7
EP  - 126
IS  - 2
PB  - Université Claude Bernard - Lyon 1
UR  - http://www.numdam.org/item/PDML_1994___2_7_0/
LA  - en
ID  - PDML_1994___2_7_0
ER  - 
%0 Journal Article
%A Kubarski, Jan
%T The Characteristic Classes of Flat and of Partially Flat Regular Lie Algebroids over Foliated Manifolds
%J Publications du Département de mathématiques (Lyon)
%D 1994
%P 7-126
%N 2
%I Université Claude Bernard - Lyon 1
%U http://www.numdam.org/item/PDML_1994___2_7_0/
%G en
%F PDML_1994___2_7_0
Kubarski, Jan. The Characteristic Classes of Flat and of Partially Flat Regular Lie Algebroids over Foliated Manifolds. Publications du Département de mathématiques (Lyon), no. 2 (1994), pp. 7-126. http://www.numdam.org/item/PDML_1994___2_7_0/

[1] Andrzejczak, G., Some characteristic invariants of foliated bundles, Dissertationes Mathematicae, CCXXII, PWN Warszawa 1984. | MR | Zbl

[2] Andrzejczak, G. - Homomorfizm Cherna-Weila i klasy charakterystyczne foliacji (The Chern-Weil homomorphism and characteristic classes of foliations), refere on The Congress of Polish Society of Mathematics, Czestochowa, September, 1987.

[3] Almeida, R. & Molino, P., Suites d'Atiyah et feuilletages transversalement complets, C. R. Acad. Sci. Paris Ser. I Math., 300 (1985), 13-15. | MR | Zbl

[4] Almeida, R. & Molino, P. Suites d'Atiyah, feuilletages et quantification geometrique, Estrait du Seminaire du Geometrie differentielle, Montpellier, 1984-85. | Zbl

[5] Coste, A. & Dazord, P. & Weinstein, A., Groupoides symplectiques, Publ. Dep. Math. Universite de Lyon 1, 2/A (1987). | Numdam | MR | Zbl

[6] Ehresmann, C., Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie (espaces fibres), Bruxelles, 1950, 29-55. Liege 1951. | MR | Zbl

[7] Greub, W., Multilinear algebra, Springer-Verlag New York Inc. 1967. | MR | Zbl

[8] Greub, W. & Halperin, S. & Vanstone, R., Connections, Curvature, and Cohomology Vol. II, Academic Press, New York and London, 1973. | MR | Zbl

[9] Greub, W. & Halperin, S. & Vanstone, R. Connections, Curvature, and Cohomology Vol. III, Academic Press, New York and London, 1976. | MR | Zbl

[10] Kamber, F. & Tondeur, Ph., Foliated Bundles and Characteristic Classes, Lectures Notes in Mathematics 493, Springer-Verlag 1975. | MR | Zbl

[11] Kubarski, J., Exponential mapping for Lie groupoids, Colloq. Math. XLVII (1982), 267-282. | MR | Zbl

[12] Kubarski, J. Exponential mapping for Lie groupoids. Applications, Colloquium Mathematicum, Vol. LIV, 1987, 39-48. | MR | Zbl

[13] Kubarski, J. Pradines-type groupoids over foliations ; cohomology, connections and the Chern-Weil homomorphism, Preprint Nr 2, Institute of Mathematics, Technical University of Lodz, August 1986. | MR

[14] Kubarski, J. Lie algebroid of a principal fibre bundle - three equivalent definitions, Prace Naukowe Politechniki Szczecinskiej, 11 (1988), 123-145. | Zbl

[15] Kubarski, J. Lie algebroid of a principal fibre bundle, Publ. Dep. Math. Universite de Lyon 1, 1/A, 1989. | Numdam | MR

[16] Kubarski, J. A criterion for the minimal closedness of the Lie subalgebra corresponding to a connected nonclosed Lie subgroup, Revista Matematica de la Universidad Complutense de Madrid, Vol. 4, numeros 2 y 3 ; 1991. | MR | Zbl

[17] Kubarski, J. The Chern-Weil homomorphism of regular Lie algebroids, Publ. Dep. Math. Universite de Lyon 1, in printing.

[18] Kubarski, J. Bott's phenomenon in the theory of nonclosed Lie subgroups, in preparation.

[19] Kubarski, J. Invariant cohomology of Lie algebroids, in preparation.

[20] Mackenzie, K., Lie groupoids and Lie algebroids in differential Geometry, London Mathematical Society Lecture Note Series 124, Cambridge, 1987. | MR | Zbl

[21] Mackenzie, K. Algebraic constructions in the category of Lie algebroids, J.Algebra (to appear). | MR | Zbl

[22] Maxim-Raileanu, L., Cohomology of Lie algebroids, An. Sti. Univ. "Al. I. Cuza" Iasi. Sect. I a Mat. XXII f 2 (1976), 197-199. | MR | Zbl

[23] Molino, P., Etude des feuilletages transversalement complets et applications, Ann. Sci. École Norm. Sup., 10(3) (1977), 289-307. | Numdam | MR | Zbl

[24] Molino, P. Riemannian Foliations, Progress in Mathematics Vol. 73, Birkhäuser Boston Basel, 1988. | MR | Zbl

[25] Moore, C. C. & Schochet, C., Global Analysis on Foliated Spaces, Mathematical Sciences Research Institute publications ; 9. 1988, Springer-Verlag New-York Inc. | MR | Zbl

[26] Ngo-Van-Que, Du prolongement des espaces fibres et des structures infinitesimales, Ann. Inst. Fourier, (Grenoble), 17,1, (1967), 157-223. | Numdam | MR | Zbl

[27] Pelczar, A. & Szarski, J., Wstęp do teorli równań róźniczkowych, Część I (BM 66), PWN 1987. | MR

[28] Pradines, J., Theorie de Lie pour les groupoides differentiables dans la categorie des groupoides, Calcul differential dans la categorie des groupoides infinitesimaux", C. R. Acad. Sci. Ser.A-B, Paris, 264, (1967), 265-248. | MR | Zbl

[29] Pradines, J. Theorie de Lie pour les groupoides differentiables, Atti Conv Intern Geom 7 Diff. Bologna, 1967, Bologna-Amsterdam. | Zbl

[30] Pradines, J. Troisième théorème de Lie pour les groupoides différentiables, C. R. Acad. Sci. Ser.A-B, Paris, 267 (1968), 21-23. | MR | Zbl

[31] Sikorski, R., Wstęp do teorli równań róźniczkowej (BM 42), PWN 1972. | Zbl

[32] Silva, A. M., Atiyah sequences and complete closed pseudogroups preserving a local parallelism. Holomorphic dynamics, Proc. 2nd Int. Colloq. Dyn. Syst., Mexico City/Mex. 1986, Lecture Notes Math. 1345, 302-316 (1988). | MR | Zbl