Sur la géométrie des prolongements des espaces fibrés vectoriels

Paulette Libermann

Annales de l'institut Fourier (1964)

  • Volume: 14, Issue: 1, page 145-172
  • ISSN: 0373-0956

How to cite

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Libermann, Paulette. "Sur la géométrie des prolongements des espaces fibrés vectoriels." Annales de l'institut Fourier 14.1 (1964): 145-172. <http://eudml.org/doc/73819>.

@article{Libermann1964,
author = {Libermann, Paulette},
journal = {Annales de l'institut Fourier},
keywords = {Riemannian manifolds},
language = {fre},
number = {1},
pages = {145-172},
publisher = {Association des Annales de l'Institut Fourier},
title = {Sur la géométrie des prolongements des espaces fibrés vectoriels},
url = {http://eudml.org/doc/73819},
volume = {14},
year = {1964},
}

TY - JOUR
AU - Libermann, Paulette
TI - Sur la géométrie des prolongements des espaces fibrés vectoriels
JO - Annales de l'institut Fourier
PY - 1964
PB - Association des Annales de l'Institut Fourier
VL - 14
IS - 1
SP - 145
EP - 172
LA - fre
KW - Riemannian manifolds
UR - http://eudml.org/doc/73819
ER -

References

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  2. [2] M. E. ATIYAH, a) Complex analytic connections, Trans. Amer. Math. Soc., 85 (1957), p. 181-207. Zbl0078.16002MR19,172c
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  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. 

Citations in EuDML Documents

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  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

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