Working Paper Article Version 1 This version is not peer-reviewed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

Journal reference: Mathematics 2019, 7, 664
DOI: 10.3390/math7080664

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.

Subject Areas

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

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