Previous |  Up |  Next

Article

References:
[1] E. Cartan: La théorie des groupes finis et continus et la géométrie différentielle traitées par la méthode du repère mobile. Paris 1937. Zbl 0018.29804
[2] С. Ehresmann: Structures locales et structures infinitésimales. CRAS Paris, 234, 587-589 (1952). MR 0046736 | Zbl 0046.40703
[3] С. Ehresmann: Introduction à la théorie des structures infinitésimales et des pseudo-groupes de Lie. Colloque de CNRS, Strasbourg 1953, 97-110.
[4] V. Guillemin, S. Sternberg: Deformation theory of pseudogroup structures. Mem. Amer. Math. Soc., 64, 1966. MR 0211421
[5] S. Kobayashi: Canonical forms on frame bundles of higher order contact. Proc. of symposia in pure math., vol. III, A.M.S., 1961, 186-193. MR 0126810 | Zbl 0109.40601
[6] I. Kolář: Geometric objects of submanifolds of a space with fundamental Lie pseudogroup. Comment. Math. Univ. Carolinae, 11, 227-234 (1970). MR 0266081
[7] I. Kolář: Canonical forms on the prolongations of principle fibre bundles. Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). MR 0301668
[8] I. Kolář: On the prolongations of geometric object fields. An. Sţi. Univ. "Al. I. Cuza" Iaşi, 17, 437-446 (1971). MR 0305278
[9] G. F. Laptěv: Differential geometry of imbedded manifolds. (Russian), Trans. Moscow Math. Soc. 2, 275-382 (1953). MR 0057601
[10] P. Libermann: Pseudogroupes infinitésimaux attachés aux pseudogroupes de Lie. Bull. Soc. Math. France, 87, 409-425 (1959). DOI 10.24033/bsmf.1536 | MR 0123279 | Zbl 0198.26801
[11] R. Palais: A global formulation of the Lie theory of transformation groups. Mem. Amer. Math. Soc., 22, 1957. MR 0121424 | Zbl 0178.26502
[12] I. Singer, S. Sternberg: On the infinite groups of Lie and Cartan, I. J. Analyse Math., 15, 1-114(1965). MR 0217822
[13] J. Vanžura: Invariants of submanifolds. Czechoslovak Math. J., 19 (94), 452-468 (1969). MR 0250329
[14] A. M. Vasiljev: General invariant methods in differential geometry. (Russian), Soviet Math. Dokl. 79, 5-7 (1951). MR 0042767
Partner of
EuDML logo