Geodesic
Affine transformations of the direct product of nonprojective Euclidean affinely connected spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 72-76.

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In this paper we obtain exact dimensions of the Lie algebras of infinitesimal affine transformations of the direct product of two nonprojective Euclidean affinely connected spaces without torsion.
Mots-clés : Lie algebra of infinitesimal affine transformations
Keywords: direct product of affine connections. 
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M. V. Morgun. Affine transformations of the direct product of nonprojective Euclidean affinely connected spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2009), pp. 72-76. http://geodesic.mathdoc.fr/item/IVM_2009_4_a10/

[1] Sultanov A. Ya., “Affinnye preobrazovaniya mnogoobrazii s lineinoi svyaznostyu i avtomorfizmy lineinykh algebr”, Izv. vuzov. Matematika, 2003, no. 11, 77–81 | MR | Zbl

[2] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, T. 1, Nauka, M., 1981, 344 pp. | MR

[3] Egorov I. P., “Dvizheniya v prostranstvakh affinnoi svyaznosti”, Dvizheniya v prostranstvakh affinn. svyaznosti, Izd-vo Kazansk. un-ta, Kazan, 1965, 5–179 | MR

[4] Skhouten I. A., Stroik D. Dzh., Vvedenie v novye metody differentsialnoi geometrii, T. 2, Izd-vo inostr. lit-ry, M., 1948, 348 pp.

[5] Norden A. P., “Prostranstva dekartovoi kompozitsii”, Izv. vuzov. Matematika, 1963, no. 4, 117–128 | MR | Zbl