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This version is not peer-reviewed
Conformal and Geodesic Mappings onto Some Special Spaces
Version 1
: Received: 21 June 2019 / Approved: 24 June 2019 / Online: 24 June 2019 (08:51:49 CEST)
A peer-reviewed article of this Preprint also exists.
Berezovski, V.; Cherevko, Y.; Rýparová, L. Conformal and Geodesic Mappings onto Some Special Spaces. Mathematics 2019, 7, 664. Berezovski, V.; Cherevko, Y.; Rýparová, L. Conformal and Geodesic Mappings onto Some Special Spaces. Mathematics 2019, 7, 664.
Abstract
In the 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 differential equations of Cauchy-type in covariant derivatives. We have found the number of essential parameters which the solution of the system depends on. Similar approach was applied for the case of conformal mappings of Riemannian spaces onto Ricci-m-symmetric Riemannian spaces and 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
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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