@article{PDML_1989___1A_1_0, author = {Kubarski, Jan}, title = {Lie {Algebroid} of a {Principal} {Fibre} {Bundle}}, journal = {Publications du D\'epartement de math\'ematiques (Lyon)}, pages = {1--66}, publisher = {Universit\'e Claude Bernard - Lyon 1}, number = {1A}, year = {1989}, mrnumber = {1129261}, language = {en}, url = {http://www.numdam.org/item/PDML_1989___1A_1_0/} }
Kubarski, Jan. Lie Algebroid of a Principal Fibre Bundle. Publications du Département de mathématiques (Lyon), no. 1A (1989), pp. 1-66. http://www.numdam.org/item/PDML_1989___1A_1_0/
[1] Sur la geometrie differentielle des espaces fibres", Ann. Sci. Ec. Norm. Sup., (3) 75 (1958), 257-407. | Numdam | MR | Zbl
, "[2] Complex analytic connections in fibre bundles", Trans. A.M.S. Vol.85, No 1, 181-207, 1957. | MR | Zbl
, "[3] Les connexions infinitesimales dans un espace fibre differentiable", Colloq. Topologie (Bruxelles 1950), Liege 1951. | MR | Zbl
, "[4] Les prolongements d'un espace fibre differentiable", C.R.A.S. Paris, A 240 (1955), 1755-1757. | MR | Zbl
, "[5] Connections, Curvature, and Cohomology", Vol.II, Academic Press, New York and London, 1973. | MR | Zbl
, , , "[6] Foundations of differential geometry", Vol.1, Interscience Publishers, New York, London, 1963. | MR | Zbl
, , "[7] Canonical forms on the prolongations of principal fibre bundles", Rev. Roumaine Math. Pures Appl. 1971, 16, 1091-1106. | MR | Zbl
, "[8] Generalized G-Structures and G-Structures of Higher Order", Bollettino U.M.I. (4) 12, Supl. fasc. 3, (1975), 235-256. | MR | Zbl
, "[9] Exponential mapping for Lie groupoids", Coll. Math. Vol. XLVII, 1982, 267-282. | MR | Zbl
, "[10] Exponential mapping for Lie groupoids. Applications", Coll. Math., Vol. LIV, p. 39-48, 1987. | MR | Zbl
, "[11] Pseudogroupes infinitesimaux", Coll. Int. CNRS, Lille, 1959, Bull. Soc. Math. France, 87, 1959, 409-425. | Numdam | MR | Zbl
, "[12] Sur les prolongements des fibres principaux et les groupoïdes differentiables", Seminaire Analyse Global, Montreal, 1969. | MR | Zbl
, "[13] Parallelismes", Journal of Diff. Geom. Vol. 8, No 4, Dec. 1973, 511-539. | MR | Zbl
, "[14] Lie Groupoids and Lie Algebroids in Differential Geometry", Cambridge University Press 1987, London Mathematical Society, Lecture Note Series 124. | MR | Zbl
, "[15] On the existence of a connection with curvature zero", Comment. Math. Helv. 32 (1958), 215-223. | MR | Zbl
, "[16] Champs d'elements sur un espace fibre principal differentiable", Ann. Inst. Fourier, Grenoble, 14, 2, (1964) 163-220. | Numdam | MR | Zbl
, "[17] Suites d'Atiyah et feuilletages transversalement complets", C.R.A.S. Paris, t. 300, 13-15, 1985. | MR | Zbl
, , "[18] Suites d'Atiyah, feuilletages et quantification geometrique", Esctrait du Seminaire du Geometrie Differentielle, Montpellier. | Zbl
, , "[19] On differential operators and connections", Trans A.M.S. Vol.99, 509-539, 1961. | MR | Zbl
, "[20] Du prolongement des espaces fibres et des structures infinitesimales", Ann. Inst. Fourier, Grenoble, 17, 1, 1967, 157-223. | Numdam | MR | Zbl
, "[21] Sur l'espace de prolongement differentiable", J. of Diff. Geom. Vol. 2, No 1, 1968, 33-40. | MR | Zbl
, "[22] Theorie de Lie pour les groupoïdes differentiables, Calcul differential dans la categorie des groupoïdes infinitesimaux", C.R.A.S. Paris, t. 264, 245-248, 1967. | MR | Zbl
, "[23] Theorie de Lie pour les groupoïdes differentiables", Atti Conv. Intern. Geom. Diff. Bologna, 1967, Bologna-Amsterdam. | Zbl
, "[24] Zur Abhangigkeit des Dirac-operators Von Der Spin-Struktur", Coll. Math. Vol. XLVIII, Fasc 1, 57-62, 1984. | MR | Zbl
, "[25] Spin Structures On Manifolds", L'Enseignement Mathematique (2) 9 (1963), 198-203. | MR | Zbl
, "