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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 1, Pages 83–95
(Mi dvmg324)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 16.02.2015
Citation:
G. A. Sultanova, “The dimensions of the Lie algebra of automorphisms in tangent bundles with a complete lift connection with projective-Euclidean base”, Dal'nevost. Mat. Zh., 16:1 (2016), 83–95
Linking options:
https://www.mathnet.ru/eng/dvmg324 https://www.mathnet.ru/eng/dvmg/v16/i1/p83
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