Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connection onto Generalized 2-Ricci-Symmetric Spaces

Berezovski, Volodymyr; Cherevko, Yevhen; Leshchenko, Svitlana; Mikeš, Josef

doi:10.7546/giq-22-2021-78-87

VOL. 22 | 2021 Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connection onto Generalized 2-Ricci-Symmetric Spaces

Volodymyr Berezovski, Yevhen Cherevko, Svitlana Leshchenko, Josef Mikeš

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Geom. Integrability & Quantization, 2021: 78-87 (2021) DOI: 10.7546/giq-22-2021-78-87

Abstract

In the paper we consider almost geodesic mappings of the first type of spaces with affine connections onto generalized 2-Ricci-symmetric spaces. The main equations for the mappings are obtained as a closed system of linear differential equations of Cauchy type in the covariant derivatives. The obtained result extends an amount of research produced by Sinyukov, Berezovski and Mikeš.