Journal
MATHEMATICS
Volume 7, Issue 8, Pages -Publisher
MDPI
DOI: 10.3390/math7080664
Keywords
space with affine connection; riemannian space; ricci-m-symmetric space; conformal mapping; geodesic mapping
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Funding
- Palacky University, Olomouc, Czech Republic [IGA_PrF_2019_015]
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In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces. The main equations for the mappings are obtained as a closed system of Cauchy-type differential equations in covariant derivatives. We find the number of essential parameters which the solution of the system depends on. A similar approach was applied for the case of conformal mappings of Riemannian spaces onto Ricci-m-symmetric Riemannian spaces, as well as geodesic mappings of spaces with affine connections onto Ricci-m-symmetric spaces.
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