Abstract
In this paper we obtain exact bounds for dimensions of the Lie algebras of infinitesimal affine transformations of the direct product of two nonprojective Euclidean affinely connected spaces without torsion.
Similar content being viewed by others
References
A. Ya. Sultanov, “Affine Transformations of Manifolds with Linear Connection and Automorphisms of Linear Algebras,” Izv. Vyssh. Uchebn. Zaved. Mat., No 11, 77–81 (2003) [RussianMathematics (Iz. VUZ) 47 (11), 73–77 (2003].
S. Kobayasi and K. Nomidzu, Foundations of Differential Geometry (John Wiley, New York-London-Sydney, 1963; Nauka, Moscow, 1981), Vol. 1.
I. P. Egorov, “Motions in Spaces with Affine Connections” in Uchen. Zap. Penzensk. Ped. Inst. (Kazan, Kazan State University Press, 1965), pp. 5–179.
J. A. Schouten and D. J. Struik, Einfilhrung in die Neuren Methoden der Differ Entialgeometrie (Groningen, Noordhoff, 1935; Inostr. Lit.,Moscow, 1948), Vol. 2.
A. P. Norden, “Spaces with Cartesian Composition,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 4, 117–128 (1963).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.V. Morgun, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 4, pp. 72–76.
About this article
Cite this article
Morgun, M.V. Affine transformations of the direct product of nonprojective Euclidean affinely connected spaces. Russ Math. 53, 58–61 (2009). https://doi.org/10.3103/S1066369X09040112
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1066369X09040112