Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m -Ricci-Symmetric Spaces

Volodymyr Berezovski, Yevhen Cherevko, Josef Mikeš and Lenka Rýparová
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Volodymyr Berezovski: Department of Mathematics and Physics, Uman National University of Horticulture, 20300 Uman, Ukraine
Yevhen Cherevko: Department of Physics and Mathematics Sciences, Odesa National Academy of Food Technologies, 65039 Odesa, Ukraine
Josef Mikeš: Department of Algebra and Geometry, Faculty of Science, Palacky University, 771 46 Olomouc, Czech Republic
Lenka Rýparová: Institute of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 602 00 Brno, Czech Republic

Mathematics, 2021, vol. 9, issue 4, 1-12

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.

Keywords: canonical almost geodesic mappings; Cauchy-type PDEs; space with affine connection; Ricci symmetric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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