Far Eastern Mathematical Journal

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

Sultanova G.A.

2016, issue 1, P. 83-95

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.

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

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References

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