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Sbornik: Mathematics, 2015, Volume 206, Issue 4, Pages 540–571
DOI: https://doi.org/10.1070/SM2015v206n04ABEH004469 (Mi sm8323) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Extension of transformation groups of compact solvmanifolds

M. V. Milovanov

Belarusian State Pedagogical University
English version PDF (562 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2015v206n04ABEH004469
Abstract: We indicate a way to extend connected simply connected soluble Lie groups acting transitively and locally effectively on a given compact solvmanifold. In 1973, Auslander posed the problem of describing all groups of this kind. The results obtained here lead to the conclusion that it is unlikely that this problem has an exhaustive solution.
Bibliography: 10 titles.
Keywords: soluble Lie group, compact solvmanifold, cotangent bundle.
Received: 06.01.2014 and 03.07.2014
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 4, Pages 67–98
DOI: https://doi.org/10.4213/sm8323
Bibliographic databases:
Document Type: Article
UDC: 512.816.5
MSC: Primary 22F05; Secondary 22E25, 37J05
Language: English
Original paper language: Russian
Citation: M. V. Milovanov, “Extension of transformation groups of compact solvmanifolds”, Mat. Sb., 206:4 (2015), 67–98; Sb. Math., 206:4 (2015), 540–571
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v206/i4/p67
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Russian version PDF:138
    English version PDF:11
    References:55
    First page:32
     
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