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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 5, Pages 995–1021 (Mi smj1132)  
This article is cited in 5 scientific papers (total in 5 papers)

On algebraic Anosov diffeomorphisms on nilmanifolds

V. V. Gorbatsevich

Moscow State Aviation Technological University
Full-text PDF (343 kB) Citations (5)
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Abstract: This article is devoted to the algebraic approaches to Anosov diffeomorphisms. All examples of Anosov diffeomorphisms known so far are connected directly or indirectly with compact nilmanifolds. We consider some new necessary conditions for existence of these diffeomorphisms on nilmanifolds. We demonstrated the absence of Anosov diffeomorphisms on some classes of nilmanifolds. We also prove some results on Lie groups and lattices in them.
Keywords: Anosov diffeomorphism, nilmanifold, lattice, $Q$-structure.
Received: 09.12.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 5, Pages 821–839
DOI: https://doi.org/10.1023/B:SIMJ.0000042472.82719.64
Bibliographic databases:
UDC: 519.46
Language: Russian
Citation: V. V. Gorbatsevich, “On algebraic Anosov diffeomorphisms on nilmanifolds”, Sibirsk. Mat. Zh., 45:5 (2004), 995–1021; Siberian Math. J., 45:5 (2004), 821–839
Citation in format AMSBIB
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\paper On algebraic Anosov diffeomorphisms on nilmanifolds
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\yr 2004
\vol 45
\issue 5
\pages 995--1021
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 5
\pages 821--839
\crossref{https://doi.org/10.1023/B:SIMJ.0000042472.82719.64}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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