| Title:
|
Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure (English) |
| Author:
|
Bartík, Vojtěch |
| Author:
|
Vanžura, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
78-105 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
17B56 |
| MSC:
|
53C10 |
| MSC:
|
58H05 |
| idZBL:
|
Zbl 0582.57018 |
| idMR:
|
MR779338 |
| DOI:
|
10.21136/CMJ.1985.101999 |
| . |
| Date available:
|
2008-06-09T15:03:41Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101999 |
| . |
| Reference:
|
[1] Bartík V., Vanžura J.: Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure.in: Proceedings of the conference (ČSSR-GDR-Poland) on differential geometry and its applications, September 1980. |
| Reference:
|
[2] Borel A.: Sur la cohomologie des espaces fibres principaux et des espaces homogènes de groups de Lie compacts.Ann. Math., 57 (1953), 115-207. MR 0051508, 10.2307/1969728 |
| Reference:
|
[3] Bredon G. E.: Sheaf Theory.McGraw-Hill Book Company, New York, 1967. Zbl 0158.20505, MR 0221500 |
| Reference:
|
[4] Cartan H., Eilenberg S.: Homological Algebra.Princeton University Press, Princeton, N.J., 1956. Zbl 0075.24305, MR 0077480 |
| Reference:
|
[5] Chevalley C., Eilenberg S.: Cohomology theory of Lie groups and Lie algebras.Trans. Amer. Math. Soc., 63 (1948), 85-124. Zbl 0031.24803, MR 0024908, 10.1090/S0002-9947-1948-0024908-8 |
| Reference:
|
[6] Greub W., Halperin S., Vanstone R.: Connections, Curvature and Cohomology, I, II, III.Academic Press, New York-London, 1973. |
| Reference:
|
[7] Helgason S.: Differential Geometry and Symmetric Spaces.Academic Press, New York- London, 1962. Zbl 0111.18101, MR 0145455 |
| Reference:
|
[8] Iwasawa K.: On some types of topological groups.Ann. Math., 50 (1949), 507-558. Zbl 0034.01803, MR 0029911, 10.2307/1969548 |
| Reference:
|
[9] Kobayashi S., Nomizu К.: Foundations of Differential Geometry, I.Interscience Publishers, New York-London, 1963. Zbl 0119.37502 |
| Reference:
|
[10] Losik M. V.: On the cohomologies of infinite-dimensional Lie algebras of vector fields.Funkt. Analiz i Ego Pril., 4 (2) (1970), 43-53. (Russian) Zbl 0212.28002, MR 0279823 |
| Reference:
|
[11] Narasimhan R.: Analysis on Real and Complex Manifolds.North-Holland Publishing Company, Amsterdam, 1968. Zbl 0188.25803, MR 0251745 |
| Reference:
|
[12] Singer I. M., Sternberg S.: The infinite groups of Lie and Cartan, Part I (The transitive groups).J. d'Analyse Mathématique, Jérusalem, 15 (1965), 1 - 114. MR 0217822, 10.1007/BF02787690 |
| . |
