Geodesic
Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure
Czechoslovak Mathematical Journal, Tome 35 (1985) no. 1, pp. 78-105
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DOI : 10.21136/CMJ.1985.101999
Classification : 17B56, 53C10, 58H05 
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Bartík, Vojtěch; Vanžura, Jiří. Losik cohomology of the Lie algebra of infinitesimal automorphisms of a $G$-structure. Czechoslovak Mathematical Journal, Tome 35 (1985) no. 1, pp. 78-105. doi: 10.21136/CMJ.1985.101999

[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.

[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. | DOI | MR

[3] Bredon G. E.: Sheaf Theory. McGraw-Hill Book Company, New York, 1967. | MR | Zbl

[4] Cartan H., Eilenberg S.: Homological Algebra. Princeton University Press, Princeton, N.J., 1956. | MR | Zbl

[5] Chevalley C., Eilenberg S.: Cohomology theory of Lie groups and Lie algebras. Trans. Amer. Math. Soc., 63 (1948), 85-124. | DOI | MR | Zbl

[6] Greub W., Halperin S., Vanstone R.: Connections, Curvature and Cohomology, I, II, III. Academic Press, New York-London, 1973.

[7] Helgason S.: Differential Geometry and Symmetric Spaces. Academic Press, New York- London, 1962. | MR | Zbl

[8] Iwasawa K.: On some types of topological groups. Ann. Math., 50 (1949), 507-558. | DOI | MR | Zbl

[9] Kobayashi S., Nomizu К.: Foundations of Differential Geometry, I. Interscience Publishers, New York-London, 1963. | Zbl

[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) | MR | Zbl

[11] Narasimhan R.: Analysis on Real and Complex Manifolds. North-Holland Publishing Company, Amsterdam, 1968. | MR | Zbl

[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. | DOI | MR

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