Lie Algebras of Infinitesimal Affine Transformations of Tangent Bundles

In this paper, we examine maximal dimensions of Lie algebras of infinitesimal affine transformations of tangent bundles with a complete lift connection over spaces with a semisymmetric connection. Keywords and phrases: tangent bundle, infinitesimal affine transformation, Lie algebra, semisymmetric c...

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Published inJournal of mathematical sciences (New York, N.Y.) Vol. 276; no. 4; pp. 570 - 575
Main Author Sultanova, G. A.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.11.2023
Springer
Springer Nature B.V
Subjects
Affine transformations
Algebra
Lie groups
Mathematics
Mathematics and Statistics
53A55
53B05
tangent bundle
semisymmetric connection
Lie algebra
infinitesimal affine transformation
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Summary:In this paper, we examine maximal dimensions of Lie algebras of infinitesimal affine transformations of tangent bundles with a complete lift connection over spaces with a semisymmetric connection. Keywords and phrases: tangent bundle, infinitesimal affine transformation, Lie algebra, semisymmetric connection. AMS Subject Classification: 53B05, 53A55
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06779-2