Characteristic Classes of Flat and of Partially Flat Regular Lie Algebroids over Foliated Manifolds

 Access to full text

 Full (PDF)

1. [1] Andrzejczak, G., Some characteristic invariants of foliated bundles, Dissertationes Mathematicae, CCXXII, PWN Warszawa1984. Zbl0561.57016MR735920
2. [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. [3] Almeida, R. & Molino, P., Suites d'Atiyah et feuilletages transversalement complets, C. R. Acad. Sci.Paris Ser. I Math., 300 (1985), 13-15. Zbl0582.57015MR778785
4. [4] Almeida, R. & Molino, P., Suites d'Atiyah, feuilletages et quantification geometrique, Estrait du Seminaire du Geometrie différentielle, Montpellier, 1984-85. Zbl0596.57017
5. [5] Coste, A. & Dazord, P. & Weinstein, A., Groupoïdes symplectiques, Publ. Dep. Math.Universite de Lyon 1, 2/A 1987. Zbl0668.58017MR996653
6. [6] Ehresman, C., Les connexions infinitésimales dans un espace fibré différentiable, Colloque de topologie (espaces fibres), Bruxelles, 1950, 29-55. Liège1951. Zbl0054.07201MR42768
7. [7] Greub, W., Multilinear algebra, Springer-Verlag New York Inc.1967. Zbl0387.15001MR224623
8. [8] Greub, W. & Halperin, S. & Vanstorner, R., Connections, Curvature, and Cohomology Vol. II, Academie Press, New York and London, 1973. Zbl0335.57001
9. [9] Greub, W. & Halperin, S. & Vanstorner, R., Connections, Curvature, and Cohomology Vol. III, Academic Press, New York and London, 1976. Zbl0372.57001MR400275
10. [10] Kamber, F. & Tondeur, Ph., Foliated Bundles and Characteristic Classes, Lectures Notes in Mathematics493, Springer-Verlag1975. Zbl0308.57011MR402773
11. [11] Kubarski, J., Exponential mapping for Lie groupoids, Colloq. Math.XLVII (1982), 267-282. Zbl0523.58045MR713145
12. [12] Kubarski, J., Exponential mapping for Lie groupoids. Applications, Colloquium Mathematicum, Vol. LIV, 1987, 39-48. Zbl0638.22001MR928656
13. [13] Kubarski, J., Pradines-type groupoids over foliations; cohomology, connections and the Chern-Weil homomorphism, Preprint Nr 2, Institute of Mathematics, Technical University of Lódz, August 1986, MR946719
14. [14] Kubarski, J., Lie algebroid of a principal fibre bundle - three equivalent definitions, Prace Naukowe Politechniki Szczecinskiej, 11 (1988), 123-145. Zbl0758.55012MR1129261
15. [15] Kubarski, J., Lie algebroid of a principal fibre bundle, Publ. Dep. Math.Universite de Lyon 1, 1'A, 1989. Zbl0758.55012MR1129261
16. [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. Zbl0766.17004MR1145691
17. [17] Kubarski, J., The Chern-Weil homomorphism of regular Lie algebroids, Publ. Dep. Math.Universite de Lyon 1, in printing. Zbl1014.53048
18. [18] Kubarski, J., Bott's phenomenon in the theory of nonclosed Lie subgroups, in preparation. 
19. [19] Kubarski, J., Invariant cohomology of Lie algebroids, in preparation. Zbl0996.22005
20. [20] Mackenzie, K., Lie groupoids and Lie algebroids in differential Geometry, London Mathematical Society Lecture Note Series124, Cambridge, 1987. Zbl0683.53029MR896907
21. [21] Mackenzie, K., Algebraic constructions in the category of Lie algebroids, J. Algebra to appear . Zbl0696.22007MR1037400
22. [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. Zbl0361.18013MR438358
23. [23] Molino, P., Etude des feuilletages transversalement complets et applications, Ann. Sci. École Norm. Sup., 10(3) (1977), 289-307. Zbl0368.57007MR458446
24. [24] Molino, P., Riemannian Foliations, Progress in Mathematics Vol. 73, BirkhäuserBostonBasel, 1988. Zbl0633.53001MR932463
25. [25] Moore, C. C. & Schochet, C., Global Analysis on Foliated Spaces, Mathematical Sciences Research Institute publications; 9. 1988, Springer-Verlag New-York Inc. Zbl0648.58034MR918974
26. [26] Ngo-Van-Que, Du prolongement des espaces fibres et des structures infinitesimales, Ann. Inst. Fourier, (Grenoble), 17, 1, (1967), 157-223. Zbl0157.28506MR221416
27. [27] Pelczar, A. & Szarski, J., Wstęp do teorli równań róźniczkowych, Część I (BM66), PWN 1987. MR921032
28. [28] Pradines, J., Theorie de Lie pour les groupoïdes differentiables dans la catégorie des groupoïdes, Calcul differential dans la categorie des groupoïdes infinitesimaux", C. R. Acad. Sci. Ser.A-B, Paris, 264, (1967), 265-248, Zbl0154.21704MR216409
29. [29] Pradines, J., Theorie de Lie pour les groupoïdes differentiables, Atti Conv Intern Geom7 Diff. Bologna, 1967, Bologna-Amsterdam. Zbl0232.22028
30. [30] Pradines, J., Troisième théorème de Lie pour les groupoïdes différentiables, C. R. Acad. Sci. Ser.A-B, Paris, 267 (1968), 21-23. Zbl0172.03502
31. [31] Silkorski, R., Wstęp do teorli równań róźniczkowych (BM42), PWN 1972, 
32. [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). Zbl0669.58039MR980966