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Brief communications

Affine transformations of the direct product of nonprojective Euclidean affinely connected spaces

M. V. Morgun

Penza State Pedagogical University

Abstract: 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.

Keywords: Lie algebra of infinitesimal affine transformations, direct product of affine connections.

UDC: 514.76

Received: 29.05.2008

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:4, 58–61

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