Canonical F -Planar Mappings of Spaces with Affine Connection onto m -Symmetric Spaces

Volodymyr Berezovski, Lenka Rýparová () and Yevhen Cherevko
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Volodymyr Berezovski: Department of Mathematics and Physics, Uman National University of Horticulture, 20300 Uman, Ukraine
Lenka Rýparová: Department of Algebra and Geometry, Faculty of Science, Palacky University in Olomouc, 771 46 Olomouc, Czech Republic
Yevhen Cherevko: Department of Physical and Mathematical Sciences, Odesa National University of Technology, Kanatnaya 112, 65039 Odesa, Ukraine

Mathematics, 2023, vol. 11, issue 5, 1-9

Abstract: In this paper, we consider canonical F -planar mappings of spaces with affine connection onto m -symmetric spaces. We obtained the fundamental equations of these mappings in the form of a closed system of Chauchy-type equations in covariant derivatives. Furthermore, we established the number of essential parameters on which its general solution depends.

Keywords: F-planar mapping; space with affine connection; symmetric space; 2-symmetric space; m-symmetric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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