Conformal and Geodesic Mappings onto Some Special Spaces

Volodymyr Berezovski; Yevhen Cherevko; Lenka Rýparová

Working Paper Article Version 1 This version is not peer-reviewed

Version 1 : Received: 21 June 2019 / Approved: 24 June 2019 / Online: 24 June 2019 (08:51:49 CEST)

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.

space with affine connection; Riemannian space; Ricci-m-symmetric space; conformal mapping; geodesic mapping

Computer Science and Mathematics, Geometry and Topology

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Conformal and Geodesic Mappings onto Some Special Spaces

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