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Izvestiya: Mathematics, 2021, Volume 85, Issue 3, Pages 529–535
DOI: https://doi.org/10.1070/IM9056 (Mi im9056) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Holomorphically homogeneous CR-manifolds and their model surfaces

M. A. Stepanova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (388 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM9056
Abstract: We show that the model surface of a germ of a holomorphically homogeneous CR-manifold is holomorphically homogeneous. We also obtain restrictions on the multiplicities in the Bloom–Graham type of a germ of a holomorphically homogeneous CR-manifold.
Keywords: CR-manifold, holomorphically homogeneous manifold, Bloom–Graham type.
Funding agency Grant number
Russian Science Foundation 18-41-05003
This paper was written with the financial support of the Russian Science Foundation (grant no. 18-41-05003).
Received: 25.04.2020
Revised: 05.06.2020
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2021, Volume 85, Issue 3, Pages 203–209
DOI: https://doi.org/10.4213/im9056
Bibliographic databases:
Document Type: Article
UDC: 517.55+514.74
MSC: 32V20, 32V40
Language: English
Original paper language: Russian
Citation: M. A. Stepanova, “Holomorphically homogeneous CR-manifolds and their model surfaces”, Izv. RAN. Ser. Mat., 85:3 (2021), 203–209; Izv. Math., 85:3 (2021), 529–535
Citation in format AMSBIB
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\by M.~A.~Stepanova
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\pages 203--209
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  • https://www.mathnet.ru/eng/im/v85/i3/p203
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:264
    Russian version PDF:45
    English version PDF:15
    Russian version HTML:102
    References:32
    First page:5
     
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