Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces
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Date
2021
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Journal ISSN
Volume Title
Publisher
MDPI
Abstract
In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces, generalized 3-Ricci-symmetric spaces, and generalized m-Ricci-symmetric spaces. In either case the main equations for the mappings are obtained as a closed system of linear differential equations of Cauchy type in the covariant derivatives. The obtained results extend an amount of research produced by N.S. Sinyukov, V.E. Berezovski, J. Mikeš.
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Keywords
canonical almost geodesic mappings, Cauchy-type PDEs, space with affine connection, Ricci symmetric space
Citation
Berezovski V, Cherevko Y, Mikeš J, Rýparová L. Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces. Mathematics. 2021; 9(4):437. https://doi.org/10.3390/math9040437