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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 300–319 (Mi smj1959)  

This article is cited in 4 scientific papers (total in 4 papers)

Compact solvmanifolds of dimension at most 4

V. V. Gorbatsevich

Moscow State Aviation Technological University
Full-text PDF (374 kB) Citations (4)
References:
Abstract: We study compact solvmanifolds of dimension 3 and 4 (the cases of dimension 1 and 2 are almost trivial). We give a detailed description of these solvmanifolds up to diffeomorphism in terms of the fundamental group and its decomposition into a semidirect product. We study the peculiarities of the topological structure of the solvmanifolds of this type; in particular, those connected with the Mostov fibration and the decomposability of solvmanifolds into a direct product of manifolds of less dimension. We distinguish special classes of these solvmanifolds and the corresponding classes of fundamental groups.
Keywords: solvmanifold, Mostov fibration.
Received: 15.10.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 2, Pages 239–252
DOI: https://doi.org/10.1007/s11202-009-0028-1
Bibliographic databases:
UDC: 512.816
Language: Russian
Citation: V. V. Gorbatsevich, “Compact solvmanifolds of dimension at most 4”, Sibirsk. Mat. Zh., 50:2 (2009), 300–319; Siberian Math. J., 50:2 (2009), 239–252
Citation in format AMSBIB
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:391
    Full-text PDF :110
    References:73
    First page:5
     
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