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MR ZblKolář, Ivan. On the invariant method in differential geometry of submanifolds. Czechoslovak Mathematical Journal, Tome 27 (1977) no. 1, pp. 96-113. doi: 10.21136/CMJ.1977.101448
@article{10_21136_CMJ_1977_101448,
author = {Kol\'a\v{r}, Ivan},
title = {On the invariant method in differential geometry of submanifolds},
journal = {Czechoslovak Mathematical Journal},
pages = {96--113},
year = {1977},
volume = {27},
number = {1},
doi = {10.21136/CMJ.1977.101448},
mrnumber = {0428231},
zbl = {0356.58002},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1977.101448/}
}
TY - JOUR AU - Kolář, Ivan TI - On the invariant method in differential geometry of submanifolds JO - Czechoslovak Mathematical Journal PY - 1977 SP - 96 EP - 113 VL - 27 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1977.101448/ DO - 10.21136/CMJ.1977.101448 LA - en ID - 10_21136_CMJ_1977_101448 ER -
[1] E. Cartan: La théorie des groupes finis et continus et la géométrie différentielle traitées par la méthode du repère mobile. Paris 1937. | Zbl
[2] С. Ehresmann: Structures locales et structures infinitésimales. CRAS Paris, 234, 587-589 (1952). | MR | Zbl
[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
[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 | Zbl
[6] I. Kolář: Geometric objects of submanifolds of a space with fundamental Lie pseudogroup. Comment. Math. Univ. Carolinae, 11, 227-234 (1970). | MR
[7] I. Kolář: Canonical forms on the prolongations of principle fibre bundles. Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). | MR
[8] I. Kolář: On the prolongations of geometric object fields. An. Sţi. Univ. "Al. I. Cuza" Iaşi, 17, 437-446 (1971). | MR
[9] G. F. Laptěv: Differential geometry of imbedded manifolds. (Russian), Trans. Moscow Math. Soc. 2, 275-382 (1953). | MR
[10] P. Libermann: Pseudogroupes infinitésimaux attachés aux pseudogroupes de Lie. Bull. Soc. Math. France, 87, 409-425 (1959). | DOI | MR | Zbl
[11] R. Palais: A global formulation of the Lie theory of transformation groups. Mem. Amer. Math. Soc., 22, 1957. | MR | Zbl
[12] I. Singer, S. Sternberg: On the infinite groups of Lie and Cartan, I. J. Analyse Math., 15, 1-114(1965). | MR
[13] J. Vanžura: Invariants of submanifolds. Czechoslovak Math. J., 19 (94), 452-468 (1969). | MR
[14] A. M. Vasiljev: General invariant methods in differential geometry. (Russian), Soviet Math. Dokl. 79, 5-7 (1951). | MR
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