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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 2, Pages 3–8 (Mi ivm8865)  
This article is cited in 14 scientific papers (total in 14 papers)

Canonical almost geodesic mappings of the first type of manifolds with affine connection

V. E. Berezovskiia, J. Mikešb

a Chair of Mathematics and Physics, Uman National University of Horticulture, 1 Institutskaya str., Uman, 20305 Ukraine
b Chair of Algebra and Geometry, Palacky University, 12 17. listopadu str., Olomouc, 77146 Czech Republic
Full-text PDF (175 kB) Citations (14)
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Abstract: In this paper we study special cases of canonical almost geodesic mappings of the first type of manifolds with affine connection. We reduce basic equations of these mappings to a closed Cauchy-type system with respect to covariant derivatives. We obtain estimates for essential parameters that affect the general solution. We give examples of such mappings of some flat space onto another one. Such mappings transform straight lines in one space into parabolas in another one. The mentioned almost geodesic mappings of the first type differ from almost geodesic mappings of the second and third types.
Keywords: canonical almost geodesic mapping of the first type, manifold with affine connection.
Received: 01.10.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 2, Pages 1–5
DOI: https://doi.org/10.3103/S1066369X14020017
Bibliographic databases:
Document Type: Article
UDC: 514.76
Language: Russian
Citation: V. E. Berezovskii, J. Mikeš, “Canonical almost geodesic mappings of the first type of manifolds with affine connection”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 2, 3–8; Russian Math. (Iz. VUZ), 58:2 (2014), 1–5
Citation in format AMSBIB
\Bibitem{BerMik14}
\by V.~E.~Berezovskii, J.~Mike{\v s}
\paper Canonical almost geodesic mappings of the first type of manifolds with affine connection
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 2
\pages 3--8
\mathnet{http://mi.mathnet.ru/ivm8865}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 2
\pages 1--5
\crossref{https://doi.org/10.3103/S1066369X14020017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897776344}
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    • This publication is cited in the following 14 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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