Conformal and Geodesic Mappings onto Some Special Spaces

Volodymyr Berezovski, Yevhen Cherevko 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 Economic Cybernetics and Information Technologies, Odesa National Economic University, 65082 Odesa, Ukraine
Lenka Rýparová: Department of Algebra and Geometry, Faculty of Science, Palacky University in Olomouc, 771 46 Olomouc, Czech Republic

Mathematics, 2019, vol. 7, issue 8, 1-8

Abstract: 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.

Keywords: space with affine connection; riemannian space; ricci-m-symmetric space; conformal mapping; geodesic mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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