On Preservation of the Riemann Tensor With Respect to Some Mappings of Affinely Connected Space
On Preservation of the Riemann Tensor With Respect to Some Mappings of Affinely Connected Space
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Дата
2018
Автори
Березовський, Володимир Євгенійович
Ковальов, Леонід Євгенійович
Назва журналу
ISSN журналу
Назва тома
Видавець
Springer Nature
Інструкція
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.
Опис
Ключові слова
Riemann tensor,
geodesic mapping,
almost geodesic mapping
Бібліографічний опис
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.