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Sbornik: Mathematics, 2021, Volume 212, Issue 4, Pages 490–516
DOI: https://doi.org/10.1070/SM9281 (Mi sm9281) 		 
Locally transitive analytic actions of Lie groups on compact surfaces

V. V. Gorbatsevich

Moscow, Russia
English version PDF (503 kB)
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DOI: https://doi.org/10.1070/SM9281
Abstract: We investigate locally transitive analytic actions of Lie groups on surfaces. We indicate compact surfaces on which locally transitive actions of Lie groups can be globalized (in particular, with certain conditions on the set of fixed points) and describe the schemes of irreducible locally transitive actions of Lie groups on these surfaces.
Bibliography: 13 titles.
Keywords: action of a Lie group, locally transitive action of a Lie group, surface, fixed points, irreducible action.
Received: 20.05.2019 and 30.06.2020
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 4, Pages 45–75
DOI: https://doi.org/10.4213/sm9281
Bibliographic databases:
Document Type: Article
UDC: 512.816.3
MSC: Primary 14M17; Secondary 32M12
Language: English
Original paper language: Russian
Citation: V. V. Gorbatsevich, “Locally transitive analytic actions of Lie groups on compact surfaces”, Mat. Sb., 212:4 (2021), 45–75; Sb. Math., 212:4 (2021), 490–516
Citation in format AMSBIB
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:242
    Russian version PDF:81
    English version PDF:56
    Russian version HTML:75
    References:34
    First page:9
     
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