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Mathematics of the USSR-Izvestiya, 1974, Volume 8, Issue 3, Pages 525–552
DOI: https://doi.org/10.1070/IM1974v008n03ABEH002120 (Mi im1939) 		 
This article is cited in 7 scientific papers (total in 9 papers)

Existence of smooth ergodic flows on smooth manifolds

D. V. Anosov
English version PDF (1243 kB) Citations (9)
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DOI: https://doi.org/10.1070/IM1974v008n03ABEH002120
Abstract: It is proved that on any compact, connected, smooth manifold of dimension greater than two there exist smooth flows preserving a given measure with smooth positive density and ergodic with respect to it. (The smoothness is everywhere of infinite order.)
Received: 09.10.1973
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1974, Volume 38, Issue 3, Pages 518–545
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: Primary 28A65, 58F99; Secondary 34C35, 54H20
Language: English
Original paper language: Russian
Citation: D. V. Anosov, “Existence of smooth ergodic flows on smooth manifolds”, Izv. Akad. Nauk SSSR Ser. Mat., 38:3 (1974), 518–545; Math. USSR-Izv., 8:3 (1974), 525–552
Citation in format AMSBIB
\Bibitem{Ano74}
\by D.~V.~Anosov
\paper Existence of smooth ergodic flows on smooth manifolds
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1974
\vol 38
\issue 3
\pages 518--545
\mathnet{http://mi.mathnet.ru/im1939}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=358863}
\zmath{https://zbmath.org/?q=an:0314.58014}
\transl
\jour Math. USSR-Izv.
\yr 1974
\vol 8
\issue 3
\pages 525--552
\crossref{https://doi.org/10.1070/IM1974v008n03ABEH002120}
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  • https://www.mathnet.ru/eng/im/v38/i3/p518
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:396
    Russian version PDF:135
    English version PDF:22
    References:70
    First page:6
     
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