On Lie Algebras of Holomorphic Affine Vector Fields on Weil Bundles
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 4, pp. 171-177
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We establish maximal dimensions of Lie algebras of holomorphic affine vector fields on Weil bundles endowed with holomorphic linear connections.
Mots-clés : Weil algebra
Keywords: Weil bundle, holomorphic function, holomorphic linear connection, affine vector field, Lie algebra.
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A. Ya. Sultanov. On Lie Algebras of Holomorphic Affine Vector Fields on Weil Bundles. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 4, pp. 171-177. http://geodesic.mathdoc.fr/item/UZKU_2009_151_4_a13/

[1] Morimoto A., “Prolongation of connections to bundles of infinitely near points”, J. Differ. Geom., 11:4 (1976), 479–498 | MR | Zbl

[2] Vishnevskii V. V., Shirokov A. P., Shurygin V. V., Prostranstva nad algebrami, Izd-vo Kazan. un-ta, Kazan, 1984, 262 pp. | MR

[3] Kobayasi Sh., Osnovy differentsialnoi geometrii, T. 1, Nauka, M., 1981, 344 pp.

[4] Egorov I. P., “Dvizheniya na prostranstvakh affinnoi svyaznosti”, Dvizheniya v prostranstvakh affinnoi svyaznosti, Izd-vo Kazan. un-ta, Kazan, 1965, 5–179

[5] Sultanov A. Ya., “O veschestvennykh razmernostyakh algebr Li golomorfnykh affinnykh vektornykh polei”, Izv. vuzov. Matem., 2007, no. 4, 54–67 | MR | Zbl