Sur la géométrie des prolongements des espaces fibrés vectoriels

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1. [1] W. AMBROSE, R. S. PALAIS, I. M. SINGER, Sprays, Ann. Acad. Bras. Sci., 32 (1960), p. 163-178. Zbl0097.37904MR23 #A3530
2. [2] M. E. ATIYAH, a) Complex analytic connections, Trans. Amer. Math. Soc., 85 (1957), p. 181-207. Zbl0078.16002MR19,172c
3. [2] M. E. ATIYAH, I. M. SINGER, b) The index of elliptic operators, Bull. Amer. Math. Soc., 69, (1963), p. 422-433. Zbl0118.31203MR28 #626
4. [3] BREUER-CORDES, Seminar on elliptic operators, Berkeley, 1963, (multigraphié). 
5. [4] P. CARTIER, Hyperalgèbres des variétés de groupes, Séminaire Sophus Lie, 2e année, 1955-1956, Secrétariat Mathématiques, Paris, 1957. Zbl0077.04302
6. [5] C. EHRESMANN, a) Connexions infinitésimales, Colloq. Topol. Alg. Bruxelles, 1950, p. 29-55. Zbl0054.07201
7. [5] C. EHRESMANN, b) C.R. Acad. Sc. Paris, t. 240, 1954, p. 1762, t. 240, 1955, p. 397 et p. 1755. 
8. [5] C. EHRESMANN, c) Connexions d'ordre supérieur, Atti del 5° Cong. del Unione math. Italiana, 1955 ; Cremonese, Roma, 1956. 
9. [5] C. EHRESMANN, d) Sur la théorie des variétés feuilletées, Rendiconti di Matematica V, vol. 10 Fasc. 1, 2, Roma, 1951. Zbl0044.38101MR13,870c
10. [6] E. FELDMAN, The geometry of immersions, Bull. Amer. Math. Soc., 69, (1963) p. 693-698. Zbl0117.40401MR27 #1967
11. [7] G. GLAESER, Étude de quelques champs tayloriens, Thèse, Nancy, 1957. Zbl0091.28103
12. [8] S. KOBAYASHI, Canonical forms on frame bundles of higher order, Proceedings of Symposia in Pure Mathematics (Amer. Math. Soc., 1961), vol. 3, p. 186-193. Zbl0109.40601MR23 #A4104
13. [9] S. LANG, Introduction to differentiable manifolds, Interscience, New York, 1962. Zbl0103.15101MR27 #5192
14. [10] P. LIBERMANN, a) "Pseudogroupes infinitésimaux", Colloq. Int. C.N.R.S., Lille 1959, Bull. Soc. Math. France, 87, 1959, pp. 409-425. Zbl0198.26801
15. [10] P. LIBERMANN, b) Connexions d'ordre supérieur, 3° Coloquio Brasileiro de Matematica Fortaleza (Brésil), 1961. 
16. [10] P. LIBERMANN, c) Sprays and higher order connections, Procced. Nat. Acad. of Science U.S.A., 49, 1963, p. 459-462. Zbl0109.40602MR27 #6207
17. [11] W. POHL, a) Differential geometry of higher order, Topology, t. 1, 1962, p. 169-211. Zbl0112.36605MR27 #4242
18. [11] W. POHL, b) Connexions in diff. geom. of higher order (multigraphié) Stanford University 1963. Zbl0168.19302
19. [12] S. SMALE, Lectures on differential topology, Notes multigraphiées rédigées par R. ABRAHAM, Columbia University, New York, 1963. 

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