@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] Some characteristic invariants of foliated bundles, Dissertationes Mathematicae, CCXXII, PWN Warszawa 1984. | MR | Zbl
,[2] 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] Suites d'Atiyah et feuilletages transversalement complets, C. R. Acad. Sci. Paris Ser. I Math., 300 (1985), 13-15. | MR | Zbl
& ,[4] Suites d'Atiyah, feuilletages et quantification geometrique, Estrait du Seminaire du Geometrie differentielle, Montpellier, 1984-85. | Zbl
&[5] Groupoides symplectiques, Publ. Dep. Math. Universite de Lyon 1, 2/A (1987). | Numdam | MR | Zbl
& & ,[6] Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie (espaces fibres), Bruxelles, 1950, 29-55. Liege 1951. | MR | Zbl
,[7] Multilinear algebra, Springer-Verlag New York Inc. 1967. | MR | Zbl
,[8] Connections, Curvature, and Cohomology Vol. II, Academic Press, New York and London, 1973. | MR | Zbl
& & ,[9] Connections, Curvature, and Cohomology Vol. III, Academic Press, New York and London, 1976. | MR | Zbl
& &[10] Foliated Bundles and Characteristic Classes, Lectures Notes in Mathematics 493, Springer-Verlag 1975. | MR | Zbl
& ,[11] Exponential mapping for Lie groupoids, Colloq. Math. XLVII (1982), 267-282. | MR | Zbl
,[12] Exponential mapping for Lie groupoids. Applications, Colloquium Mathematicum, Vol. LIV, 1987, 39-48. | MR | Zbl
[13] 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] Lie algebroid of a principal fibre bundle - three equivalent definitions, Prace Naukowe Politechniki Szczecinskiej, 11 (1988), 123-145. | Zbl
[15] Lie algebroid of a principal fibre bundle, Publ. Dep. Math. Universite de Lyon 1, 1/A, 1989. | Numdam | MR
[16] 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] The Chern-Weil homomorphism of regular Lie algebroids, Publ. Dep. Math. Universite de Lyon 1, in printing.
[18] Bott's phenomenon in the theory of nonclosed Lie subgroups, in preparation.
[19] Invariant cohomology of Lie algebroids, in preparation.
[20] Lie groupoids and Lie algebroids in differential Geometry, London Mathematical Society Lecture Note Series 124, Cambridge, 1987. | MR | Zbl
,[21] Algebraic constructions in the category of Lie algebroids, J.Algebra (to appear). | MR | Zbl
[22] Cohomology of Lie algebroids, An. Sti. Univ. "Al. I. Cuza" Iasi. Sect. I a Mat. XXII f 2 (1976), 197-199. | MR | Zbl
,[23] Etude des feuilletages transversalement complets et applications, Ann. Sci. École Norm. Sup., 10(3) (1977), 289-307. | Numdam | MR | Zbl
,[24] Riemannian Foliations, Progress in Mathematics Vol. 73, Birkhäuser Boston Basel, 1988. | MR | Zbl
[25] Global Analysis on Foliated Spaces, Mathematical Sciences Research Institute publications ; 9. 1988, Springer-Verlag New-York Inc. | MR | Zbl
& ,[26] Du prolongement des espaces fibres et des structures infinitesimales, Ann. Inst. Fourier, (Grenoble), 17,1, (1967), 157-223. | Numdam | MR | Zbl
,[27] Wstęp do teorli równań róźniczkowych, Część I (BM 66), PWN 1987. | MR
& ,[28] 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] Theorie de Lie pour les groupoides differentiables, Atti Conv Intern Geom 7 Diff. Bologna, 1967, Bologna-Amsterdam. | Zbl
[30] Troisième théorème de Lie pour les groupoides différentiables, C. R. Acad. Sci. Ser.A-B, Paris, 267 (1968), 21-23. | MR | Zbl
[31] Wstęp do teorli równań róźniczkowej (BM 42), PWN 1972. | Zbl
,[32] 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
,