On the invariant method in differential geometry of submanifolds

Ivan Kolář

Czechoslovak Mathematical Journal (1977)

  • Volume: 27, Issue: 1, page 96-113
  • ISSN: 0011-4642

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Kolář, Ivan. "On the invariant method in differential geometry of submanifolds." Czechoslovak Mathematical Journal 27.1 (1977): 96-113. <http://eudml.org/doc/12984>.

@article{Kolář1977,
author = {Kolář, Ivan},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {96-113},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the invariant method in differential geometry of submanifolds},
url = {http://eudml.org/doc/12984},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Kolář, Ivan
TI - On the invariant method in differential geometry of submanifolds
JO - Czechoslovak Mathematical Journal
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 1
SP - 96
EP - 113
LA - eng
UR - http://eudml.org/doc/12984
ER -

References

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  1. E. Cartan, La théorie des groupes finis et continus et la géométrie différentielle traitées par la méthode du repère mobile, Paris 1937. (1937) Zbl0018.29804
  2. С. Ehresmann, Structures locales et structures infinitésimales, CRAS Paris, 234, 587-589 (1952). (1952) Zbl0046.40703MR0046736
  3. С. Ehresmann, Introduction à la théorie des structures infinitésimales et des pseudo-groupes de Lie, Colloque de CNRS, Strasbourg 1953, 97-110. (1953) 
  4. V. Guillemin, S. Sternberg, Deformation theory of pseudogroup structures, Mem. Amer. Math. Soc., 64, 1966. (1966) MR0211421
  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. (1961) Zbl0109.40601MR0126810
  6. I. Kolář, Geometric objects of submanifolds of a space with fundamental Lie pseudogroup, Comment. Math. Univ. Carolinae, 11, 227-234 (1970). (1970) MR0266081
  7. I. Kolář, Canonical forms on the prolongations of principle fibre bundles, Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). (1971) MR0301668
  8. I. Kolář, On the prolongations of geometric object fields, An. Sţi. Univ. "Al. I. Cuza" Iaşi, 17, 437-446 (1971). (1971) MR0305278
  9. G. F. Laptěv, Differential geometry of imbedded manifolds, (Russian), Trans. Moscow Math. Soc. 2, 275-382 (1953). (1953) MR0057601
  10. P. Libermann, Pseudogroupes infinitésimaux attachés aux pseudogroupes de Lie, Bull. Soc. Math. France, 87, 409-425 (1959). (1959) Zbl0198.26801MR0123279
  11. R. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc., 22, 1957. (1957) Zbl0178.26502MR0121424
  12. I. Singer, S. Sternberg, 10.1007/BF02787690, J. Analyse Math., 15, 1-114(1965). (1965) MR0217822DOI10.1007/BF02787690
  13. J. Vanžura, Invariants of submanifolds, Czechoslovak Math. J., 19 (94), 452-468 (1969). (1969) MR0250329
  14. A. M. Vasiljev, General invariant methods in differential geometry, (Russian), Soviet Math. Dokl. 79, 5-7 (1951). (1951) MR0042767

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