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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) Russian version article
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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
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. Math., 85:3 (2021), 529–535
Citation in format AMSBIB
\Bibitem{Ste21}
\by M.~A.~Stepanova
\paper Holomorphically homogeneous~CR-manifolds and their model surfaces
\jour Izv. Math.
\yr 2021
\vol 85
\issue 3
\pages 529--535
\mathnet{http://mi.mathnet.ru/eng/im9056}
\crossref{https://doi.org/10.1070/IM9056}
\zmath{https://zbmath.org/?q=an:1470.32106}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021IzMat..85..529S}
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\elib{https://elibrary.ru/item.asp?id=46931053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85110760068}
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  • https://www.mathnet.ru/eng/im9056
  • https://doi.org/10.1070/IM9056
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:334
    Russian version PDF:60
    English version PDF:21
    Russian version HTML:151
    References:46
    First page:6
     
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