@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},
year = {1989},
publisher = {Universit\'e Claude Bernard - Lyon 1},
number = {1A},
mrnumber = {1129261},
language = {en},
url = {https://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. https://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. | Zbl | MR | Numdam
[2] , "Complex analytic connections in fibre bundles", Trans. A.M.S. Vol.85, No 1, 181-207, 1957. | Zbl | MR
[3] , "Les connexions infinitesimales dans un espace fibre differentiable", Colloq. Topologie (Bruxelles 1950), Liege 1951. | Zbl | MR
[4] , "Les prolongements d'un espace fibre differentiable", C.R.A.S. Paris, A 240 (1955), 1755-1757. | Zbl | MR
[5] , , , "Connections, Curvature, and Cohomology", Vol.II, Academic Press, New York and London, 1973. | Zbl | MR
[6] , , "Foundations of differential geometry", Vol.1, Interscience Publishers, New York, London, 1963. | Zbl | MR
[7] , "Canonical forms on the prolongations of principal fibre bundles", Rev. Roumaine Math. Pures Appl. 1971, 16, 1091-1106. | Zbl | MR
[8] , "Generalized G-Structures and G-Structures of Higher Order", Bollettino U.M.I. (4) 12, Supl. fasc. 3, (1975), 235-256. | Zbl | MR
[9] , "Exponential mapping for Lie groupoids", Coll. Math. Vol. XLVII, 1982, 267-282. | Zbl | MR
[10] , "Exponential mapping for Lie groupoids. Applications", Coll. Math., Vol. LIV, p. 39-48, 1987. | Zbl | MR
[11] , "Pseudogroupes infinitesimaux", Coll. Int. CNRS, Lille, 1959, Bull. Soc. Math. France, 87, 1959, 409-425. | Zbl | MR | Numdam
[12] , "Sur les prolongements des fibres principaux et les groupoïdes differentiables", Seminaire Analyse Global, Montreal, 1969. | Zbl | MR
[13] , "Parallelismes", Journal of Diff. Geom. Vol. 8, No 4, Dec. 1973, 511-539. | Zbl | MR
[14] , "Lie Groupoids and Lie Algebroids in Differential Geometry", Cambridge University Press 1987, London Mathematical Society, Lecture Note Series 124. | Zbl | MR
[15] , "On the existence of a connection with curvature zero", Comment. Math. Helv. 32 (1958), 215-223. | Zbl | MR
[16] , "Champs d'elements sur un espace fibre principal differentiable", Ann. Inst. Fourier, Grenoble, 14, 2, (1964) 163-220. | Zbl | MR | Numdam
[17] , , "Suites d'Atiyah et feuilletages transversalement complets", C.R.A.S. Paris, t. 300, 13-15, 1985. | Zbl | MR
[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. | Zbl | MR
[20] , "Du prolongement des espaces fibres et des structures infinitesimales", Ann. Inst. Fourier, Grenoble, 17, 1, 1967, 157-223. | Zbl | MR | Numdam
[21] , "Sur l'espace de prolongement differentiable", J. of Diff. Geom. Vol. 2, No 1, 1968, 33-40. | Zbl | MR
[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. | Zbl | MR
[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. | Zbl | MR
[25] , "Spin Structures On Manifolds", L'Enseignement Mathematique (2) 9 (1963), 198-203. | Zbl | MR






