| Title:
|
On the invariant method in differential geometry of submanifolds (English) |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
27 |
| Issue:
|
1 |
| Year:
|
1977 |
| Pages:
|
96-113 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C30 |
| MSC:
|
58H05 |
| idZBL:
|
Zbl 0356.58002 |
| idMR:
|
MR0428231 |
| DOI:
|
10.21136/CMJ.1977.101448 |
| . |
| Date available:
|
2008-06-09T14:21:56Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101448 |
| . |
| Reference:
|
[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 |
| Reference:
|
[2] С. Ehresmann: Structures locales et structures infinitésimales.CRAS Paris, 234, 587-589 (1952). Zbl 0046.40703, MR 0046736 |
| Reference:
|
[3] С. Ehresmann: Introduction à la théorie des structures infinitésimales et des pseudo-groupes de Lie.Colloque de CNRS, Strasbourg 1953, 97-110. |
| Reference:
|
[4] V. Guillemin, S. Sternberg: Deformation theory of pseudogroup structures.Mem. Amer. Math. Soc., 64, 1966. MR 0211421 |
| Reference:
|
[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. Zbl 0109.40601, MR 0126810 |
| Reference:
|
[6] I. Kolář: Geometric objects of submanifolds of a space with fundamental Lie pseudogroup.Comment. Math. Univ. Carolinae, 11, 227-234 (1970). MR 0266081 |
| Reference:
|
[7] I. Kolář: Canonical forms on the prolongations of principle fibre bundles.Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). MR 0301668 |
| Reference:
|
[8] I. Kolář: On the prolongations of geometric object fields.An. Sţi. Univ. "Al. I. Cuza" Iaşi, 17, 437-446 (1971). MR 0305278 |
| Reference:
|
[9] G. F. Laptěv: Differential geometry of imbedded manifolds.(Russian), Trans. Moscow Math. Soc. 2, 275-382 (1953). MR 0057601 |
| Reference:
|
[10] P. Libermann: Pseudogroupes infinitésimaux attachés aux pseudogroupes de Lie.Bull. Soc. Math. France, 87, 409-425 (1959). Zbl 0198.26801, MR 0123279, 10.24033/bsmf.1536 |
| Reference:
|
[11] R. Palais: A global formulation of the Lie theory of transformation groups.Mem. Amer. Math. Soc., 22, 1957. Zbl 0178.26502, MR 0121424 |
| Reference:
|
[12] I. Singer, S. Sternberg: On the infinite groups of Lie and Cartan, I.J. Analyse Math., 15, 1-114(1965). MR 0217822 |
| Reference:
|
[13] J. Vanžura: Invariants of submanifolds.Czechoslovak Math. J., 19 (94), 452-468 (1969). MR 0250329 |
| Reference:
|
[14] A. M. Vasiljev: General invariant methods in differential geometry.(Russian), Soviet Math. Dokl. 79, 5-7 (1951). MR 0042767 |
| . |
