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Mathematics of the USSR-Sbornik, 1969, Volume 9, Issue 3, Pages 297–313
DOI: https://doi.org/10.1070/SM1969v009n03ABEH001130 (Mi sm3621) 		 
This article is cited in 29 scientific papers (total in 29 papers)

Trajectories on nonorientable two-dimensional manifolds

S. Kh. Aranson
English version PDF (966 kB) Citations (29) Russian version article
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DOI: https://doi.org/10.1070/SM1969v009n03ABEH001130
Abstract: This paper studies the question of decomposition of a closed nonorientable two-dimensional manifold of arbitrary genus into maximal connected components (cells), consisting of trajectories which behave “similarly” in the sense of stability of orbits and in the sense of geometrical equivalence.
Figures: 2.
Bibliography: 20 titles.
Received: 04.11.1968
Bibliographic databases:
UDC: 517.917
MSC: 57M50, 37E30, 70K05, 51E15
Language: English
Original paper language: Russian
Citation: S. Kh. Aranson, “Trajectories on nonorientable two-dimensional manifolds”, Math. USSR-Sb., 9:3 (1969), 297–313
Citation in format AMSBIB
\Bibitem{Ara69}
\by S.~Kh.~Aranson
\paper Trajectories on nonorientable two-dimensional manifolds
\jour Math. USSR-Sb.
\yr 1969
\vol 9
\issue 3
\pages 297--313
\mathnet{http://mi.mathnet.ru//eng/sm3621}
\crossref{https://doi.org/10.1070/SM1969v009n03ABEH001130}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=259284}
\zmath{https://zbmath.org/?q=an:0207.54501}
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  • https://www.mathnet.ru/eng/sm/v122/i3/p314
    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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