Affine Transformations in Bundles

This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years. Keywords and phrases: affine transformation, generalized space over an algebra, smooth manifold, connection, torsion. AMS Subject Classification: 53B15

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 245; no. 5; pp. 601 - 643
Main Authors Sultanov, A. Ya, Monakhova, O. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 04.03.2020
Springer
Springer Nature B.V
Subjects
Affine transformations
Algebra
Mathematics
Mathematics and Statistics
Surveys
generalized space over an algebra
connection
53B15
torsion
smooth manifold
affine transformation
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Summary:This paper is a review of results of studies of affine transformations in generalized spaces over real linear algebras over the past 15-20 years. Keywords and phrases: affine transformation, generalized space over an algebra, smooth manifold, connection, torsion. AMS Subject Classification: 53B15
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04713-4