V. E. Berezovskii, L. E. Kovalev, J. Mikeš, “On preservation of the Riemann tensor with respect to some mappings of space with affine connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 9,Pages <nobr>3

This article is cited in 7 papers

On preservation of the Riemann tensor with respect to some mappings of space with affine connection

V. E. Berezovskii^a, L. E. Kovalev^a, J. Mikeš^b

^a Uman National University of Horticulture, 1 Institutskaya str., Uman, Cherkasy Obl., 20305 Ukraine
^b Palacký University, 12 17 listopadu str., Olomouc, 77146 Czech Republic

Abstract: This paper is devoted to geodesic and almost geodesic mappings of spaces with affine connection. We find conditions which ensure that the Riemann tensor is an invariant geometric object with respect to the studied mappings. In this work we present an example of the non-trivial geodesic mappings between the flat spaces.

Keywords: Riemann tensor, geodesic mapping, almost geodesic mapping.

UDC: 514.764

Received: 07.07.2017