A. Ya. Sultanov, G. A. Sultanova, “An estimate of the dimension of the Lie algebra of infinitesimal affine transformations in the tangent bundle <nobr>$T(M)$</nobr> with complete lift connection”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2014, Volume 156, Book 2,Pages <nobr>43

This article is cited in 2 papers

An estimate of the dimension of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with complete lift connection

A. Ya. Sultanov, G. A. Sultanova

Belinsky Penza State Pedagogical University, Penza, Russia

Abstract: In this article we obtain the exact dimensions of the Lie algebra of infinitesimal affine transformations in the tangent bundle $T(M)$ with a complete lift, when the base $M$ is a non-projective Euclidean space of special type.

Keywords: differentiable manifold, complete lift connection, infinitesimal affine transformation, vertical-vector lift of affinor, horizontal-vector lift of affinor, Lie algebra, non-projective Euclidean space.

UDC: 514.76

Received: 07.05.2014