Canonical IF/I-Planar Mappings of Spaces with Affine Connection onto Im/I-Symmetric Spaces

Canonical IF/I-Planar Mappings of Spaces with Affine Connection onto Im/I-Symmetric Spaces

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 essent...

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Veröffentlicht in:Mathematics (Basel) 2023-03, Vol.11 (5)
Hauptverfasser: Berezovski, Volodymyr, Rýparová, Lenka, Cherevko, Yevhen
Format: Artikel
Sprache:eng
Schlagworte:
Symmetry
Topological spaces
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11051246