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Geometry and Differential Geometry pp 363–382Cite as

Introduction à l'étude de certains systèmes différentiels

  • II. Differential Geometry
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Bibliographie

  1. D. BERNARD, Thèse, Ann. Inst. Fourier, 10 (1960), p. 151–270.

    Article  MathSciNet  Google Scholar 

  2. C. EHRESMANN "Sur les structures infinitésimales régulières" Congrès. Intern. Math. Amsterdam, 1954 vol. 1, p. 479–480

    Google Scholar 

  3. "Connexions Infinitésimales" Colloq. Top. Alg. Bruxelles, 1950, p. 29–55

    Google Scholar 

  4. "Structures infinitésimales et pseudogroupes de Lie" Coll. Intern. C.N.R.S. Géom. Diff. Strasbourg 1953 p. 97–110

    Google Scholar 

  5. Comptes-rendus Acad. Sc. Paris t. 240 (1954) p. 1762; t. 241 (1955) p. 397 et 1755; t. 246 (1958) p. 360

    MathSciNet  Google Scholar 

  6. "Connexions d'ordre supérieur" Atti 5e Congr. dell'Unione Matem. Italiana 1955; Cremonese, Roma, 1956, p. 326–328

    Google Scholar 

  7. Catégories topologiques et catégories différentiables" Colloq. géom. Diff. Globale Bruxelles, 1958, p. 137–150

    Google Scholar 

  8. "Groupoïdes diferenciales" Revista de la Unione Mat. Argentina, XIX, Buenos Aires, 1960, p. 48.

    Google Scholar 

  9. H. GOLDSCHMIDT "Non linear partial differential equations". Journ. of Diff. Geom. 1, 1967, p. 269–307

    MathSciNet  MATH  Google Scholar 

  10. "Sur la structure des équations de Lie" Journ. of Diff. Geometry 6, 1972, p. 357–373; 7, 1972, p. 269–307.

    MathSciNet  MATH  Google Scholar 

  11. V. GUILLEMIN "The integrability problem for G-structures" Trans. Amer. Math. Soc. 116 (1965) p. 544

    MathSciNet  MATH  Google Scholar 

  12. and STERNBERG "Deformation theory of pseudogroup structures" Mem. Amer. Soc. 64, 1966

    Google Scholar 

  13. "The Lewy Counterexample". Journ. of Diff. Geom. 1, 1967, 1967, p. 58–67.

    MathSciNet  MATH  Google Scholar 

  14. A. KUMPERA and SPENCER "Lie équations" Annals of Math. Studies no 73 Princeton University Press, Princeton 1972.

    MATH  Google Scholar 

  15. M. KURANISHI "Lectures on involutive systems" São Paulo, 1967.

    Google Scholar 

  16. P. LIBERMANN Thèse, Strasbourg 1953. "Sur le problème d'équivalence des structures infinitésimales régulières" Ann. Mat. Pura Appl. 36 (1954), p. 27–120

    Article  MathSciNet  MATH  Google Scholar 

  17. "Pseudogroupes infinitésimaux". Bull. Soc. Math. France 87 (1959) p. 409–425

    MathSciNet  MATH  Google Scholar 

  18. "Connexions d'ordre supérieur et tenseur de structure" Atti. Conv. Internat. Geom. Diff., Bologna, 1967

    Google Scholar 

  19. "Sur les prolongements des fibrés principaux et groupoides différentiables" Séminaire Analyse Globale, Montréal, 1969, p. 7–108

    Google Scholar 

  20. "Groupoïdes différentiables et presque parallélisme" Symposia Mathematica, Vol X (Convegno di Geom. Diff.) Roma 1971, p. 59–93

    Google Scholar 

  21. "Parallèlismes" Journ. of Diff. Geometry 8 (1973) p. 511–539

    MathSciNet  MATH  Google Scholar 

  22. B. MALGRANGE "Equations de Lie" Journ. of Diff. Geometry 6, 1972, p. 503–522; 7, 1972, p. 117–141.

    MathSciNet  Google Scholar 

  23. P. MOLINO "Sur quelques propriétés des G-structures" Journ. of Diff. Geometry 7, 1972, p. 489–518.

    MathSciNet  MATH  Google Scholar 

  24. J. PRADINES C.R. Acad. Sc. Paris 263, 1966, p. 907–910; 264, 1967, p. 245–248; 266, 1968, p. 1194–1196

    MathSciNet  Google Scholar 

  25. "Fibrés vectoriels doubles et calcul des jets non holonomes". Esquisses Mathématiques, 29 (1977)

    Google Scholar 

  26. N.V. QUE "Nomabelian Spencer cohomology" Journ. of Diff. Geometry 3 (1969) 165–211.

    MATH  Google Scholar 

  27. A. ROGRIGUES "G-Structures et pseudogroupes de Lie" Cours Faculté Sciences Grenoble, 1967–68.

    Google Scholar 

  28. D. SPENCER "Overdetermined systems of linear partial differential equations" Bull. Amer. Math. Sco. 75, 1965, p. 1–114.

    Google Scholar 

  29. P. VER EECKE Thèse; Cahiers Topologie et Geom. Diff. 5, 1963

    Google Scholar 

  30. Géométrie Différentielle (São Paulo, 1967); Conexiones de orden superior (Zaragoza, 1968) Traduction anglaise (Cross et Smith), Melbourne, 1978.

    Google Scholar 

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Authors
  1. Paulette Libermann
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Rafael Artzy Izu Vaisman

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© 1980 Springer-Verlag

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Libermann, P. (1980). Introduction à l'étude de certains systèmes différentiels. In: Artzy, R., Vaisman, I. (eds) Geometry and Differential Geometry. Lecture Notes in Mathematics, vol 792. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088689

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  • DOI: https://doi.org/10.1007/BFb0088689

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09976-5

  • Online ISBN: 978-3-540-39214-9

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