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The dimensions of the Lie algebra of automorphisms in tangent bundles with a complete lift connection with projective-Euclidean base

G. A. Sultanova

Amurskii Humanities Pedagogical State University

Abstract: In this paper we obtained exact estimates of dimension of the Lie algebra of infinitesimal affine transformations in tangent bundles with projective-Euclidean base with a complete lift connection.

Key words: differentiable manifold, tangent bundle, complete lift of linear connection, projective-Euclidean space with linear connection, infinitesimal affine transformation, Lie algebra of infinitesimal affine transformation.

UDC: 514.76

MSC: 53A17

Received: 16.02.2015

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