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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 144, Pages 3–16 (Mi into267)  
This article is cited in 2 scientific papers (total in 2 papers)

Equivalence of Paths in Galilean Geometry

V. I. Chilin, K. K. Muminov

National University of Uzbekistan named after M. Ulugbek, Tashkent
Full-text PDF (242 kB) Citations (2)
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Abstract: An explicit description of finite transcendence bases in differential fields of differential rational functions that are invariant under the action of Galilean transformation group in a real finite-dimensional space is presented. Necessary and sufficient conditions of the equivalence of paths in the $n$-dimensional Galilean space are obtained.
Keywords: Galilean space, differential invariant, transcendence basis, path in a finite-dimensional space.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 3, Pages 297–310
DOI: https://doi.org/10.1007/s10958-020-04691-7
Bibliographic databases:
Document Type: Article
UDC: 512.74
MSC: 53A15, 53A55, 53B30
Language: Russian
Citation: V. I. Chilin, K. K. Muminov, “Equivalence of Paths in Galilean Geometry”, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 3–16; Journal of Mathematical Sciences, 245:3 (2020), 297–310
Citation in format AMSBIB
\Bibitem{ChiMum18}
\by V.~I.~Chilin, K.~K.~Muminov
\paper Equivalence of Paths in Galilean Geometry
\inbook Proceedings of the International Conference «Problems of Modern Topology and its Applications»
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 144
\pages 3--16
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3829866}
\zmath{https://zbmath.org/?q=an:07248459}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 3
\pages 297--310
\crossref{https://doi.org/10.1007/s10958-020-04691-7}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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