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Izvestiya: Mathematics, 2017, Volume 81, Issue 6, Pages 1143–1154
DOI: https://doi.org/10.1070/IM8506 (Mi im8506) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Extension of transitive actions of Lie groups

V. V. Gorbatsevich
English version PDF (207 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM8506
Abstract: We give an algebraic construction of extensions of arbitrary transitive actions of soluble Lie groups on compact manifolds. The question of the possible dimensions of such extensions is studied in detail. We also consider some generalizations of this construction and the question of constructing extended transitive Lie group actions in some particular cases.
Keywords: soluble Lie group, homogeneous space, solvmanifold, nilmanifold, lattice.
Received: 11.01.2016
Revised: 28.06.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2017, Volume 81, Issue 6, Pages 86–99
DOI: https://doi.org/10.4213/im8506
Bibliographic databases:
Document Type: Article
UDC: 512.816.5
MSC: 22F05, 22E25, 57S20, 14L30, 17B08
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “Extension of transitive actions of Lie groups”, Izv. RAN. Ser. Mat., 81:6 (2017), 86–99; Izv. Math., 81:6 (2017), 1143–1154
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8506
  • https://www.mathnet.ru/eng/im/v81/i6/p86
    • This publication is cited in the following 5 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:377
    Russian version PDF:67
    English version PDF:8
    References:58
    First page:28
     
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