Sur la géométrie des prolongements des espaces fibrés vectoriels

 Access to full text

 Full (PDF)

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. 

1. Ping Cheng Yuen, Higher order frames and linear connections
2. Juraj Virsik, Non-holonomic connections on vector bundles. I
3. Juraj Virsik, Non-holonomic connections on vector bundles, II
4. Oldřich Kowalski, A characterization of osculating maps
5. Oldřich Kowalski, Immersions of Riemannian manifolds with a given normal bundle structure. I
6. N. V. Que, Du prolongement des espaces fibrés et des structures infinitésimales
7. Marcelo Epstein, Manuel de León, Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies
8. D. Lehmann, Quelques propriétés des connexions induites, et fibrés à groupe structural variable en géométrie d'ordre supérieur
9. A. Kock, R. Lavendhomme, Strong infinitesimal linearity, with applications to strong difference and affine connections
10. Anton Dekrét, On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles