On Preservation of the Riemann Tensor With Respect to Some Mappings of Affinely Connected Space
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
Abstract
This paper is devoted to geodesic and almost geodesic mappings of affinely connected spaces. 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 a non-trivial geodesic mapping between the flat spaces.
Description
Keywords
Riemann tensor, geodesic mapping, almost geodesic mapping
Citation
Berezovskii V. E., Kovalev L. E. and Mikes J. On Preservation of the Riemann Tensor With Respect to Some Mappings of Affinely Connected Space // Russian Mathematics, 2018, Vol. 62, No. 9, pp. 1–6.