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Izvestiya: Mathematics, 2012, Volume 76, Issue 4, Pages 669–680
DOI: https://doi.org/10.1070/IM2012v076n04ABEH002600 (Mi im6846) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Compact homogeneous manifolds of dimension at most 7 up to a finite covering

V. V. Gorbatsevich

Moscow State Aviation Technological University, Moscow
English version PDF (231 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM2012v076n04ABEH002600
Abstract: We give a classification of all compact homogeneous manifolds of dimension at most 7 up to a finite covering. Earlier classifications of this kind up to dimension 6 are obtained by a unified method. The main focus of the paper is on the case of dimension 7.
Keywords: homogeneous manifold, finite covering, natural fibration.
Received: 28.01.2011
Bibliographic databases:
Document Type: Article
UDC: 512.816.3
MSC: 53C30, 22E40, 55R10, 57M10, 57R20, 57T20
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “Compact homogeneous manifolds of dimension at most 7 up to a finite covering”, Izv. Math., 76:4 (2012), 669–680
Citation in format AMSBIB
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\by V.~V.~Gorbatsevich
\paper Compact homogeneous manifolds of dimension at~most~7 up to a~finite covering
\jour Izv. Math.
\yr 2012
\vol 76
\issue 4
\pages 669--680
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  • https://doi.org/10.1070/IM2012v076n04ABEH002600
  • https://www.mathnet.ru/eng/im/v76/i4/p27
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:573
    Russian version PDF:169
    English version PDF:103
    References:115
    First page:8
     
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