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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 9, Pages 3–10 (Mi ivm9392)  
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
Full-text PDF (189 kB) Citations (7)
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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
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 9, Pages 1–6
DOI: https://doi.org/10.3103/S1066369X18090013
Bibliographic databases:
Document Type: Article
UDC: 514.764
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ivm/y2018/i9/p3
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:37
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