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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 144, Pages 81–87 (Mi into275)  
This article is cited in 2 scientific papers (total in 2 papers)

On the Geometry of Vector Fields

A. Ya. Narmanov, S. S. Saitova

National University of Uzbekistan named after M. Ulugbek, Tashkent
Full-text PDF (179 kB) Citations (2)
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Abstract: It is well known that the study of the geometry and topology of the attainability set of a family of vector fields is one of the main tasks of the qualitative control theory, which is closely related to the geometry of orbits of vector fields. In this paper, we discuss the authors' results on the geometry of the attainability set of a family of vector fields: the results on the geometry of $T$-attainability sets and the geometry of orbits of Killing vector fields.
Keywords: vector field, orbit, attainability set, Killing vector field, Euler characteristic.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 3, Pages 375–381
DOI: https://doi.org/10.1007/s10958-020-04699-z
Bibliographic databases:
Document Type: Article
UDC: 517.936, 517.925.53
MSC: Primary 37C10; Secondary 57R27
Language: Russian
Citation: A. Ya. Narmanov, S. S. Saitova, “On the Geometry of Vector Fields”, 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, 81–87; Journal of Mathematical Sciences, 245:3 (2020), 375–381
Citation in format AMSBIB
\Bibitem{NarSai18}
\by A.~Ya.~Narmanov, S.~S.~Saitova
\paper On the Geometry of Vector Fields
\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 81--87
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into275}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3829874}
\zmath{https://zbmath.org/?q=an:1452.37020}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 3
\pages 375--381
\crossref{https://doi.org/10.1007/s10958-020-04699-z}
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  • https://www.mathnet.ru/eng/into/v144/p81
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		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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    Full-text PDF :128
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