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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 9, Pages 3–10
(Mi ivm9392)
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This article is cited in 7 scientific papers (total in 7 papers)
On preservation of the Riemann tensor with respect to some mappings of space with affine connection
V. E. Berezovskiia, L. E. Kovaleva, J. Mikešb 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.
Received: 07.07.2017
Citation:
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, no. 9, 3–10; Russian Math. (Iz. VUZ), 62:9 (2018), 1–6
Linking options:
https://www.mathnet.ru/eng/ivm9392 https://www.mathnet.ru/eng/ivm/y2018/i9/p3
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Abstract page: | 281 | Full-text PDF : | 44 | References: | 31 | First page: | 8 |
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