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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 3, Pages 655–662
DOI: https://doi.org/10.1070/IM1989v032n03ABEH000804 (Mi im1198) 		 
This article is cited in 31 scientific papers (total in 31 papers)

Finite-dimensionality of the group of $CR$ automorphisms of a standard $CR$ manifold, and proper holomorphic mappings of Siegel domains

A. E. Tumanov
English version PDF (493 kB) Citations (31)
References:
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DOI: https://doi.org/10.1070/IM1989v032n03ABEH000804
Abstract: It is shown that local $CR$ automorphisms of nondegenerate standard $CR$ manifolds are rational and form a finite-dimensional Lie group. It is established that proper holomorphic mappings of nondegenerate Siegel domains are biholomorphic and rational.
Bibliography: 14 titles.
Received: 24.06.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 3, Pages 651–659
Bibliographic databases:
UDC: 517.55
MSC: Primary 32F25, 32M05; Secondary 32H05
Language: English
Original paper language: Russian
Citation: A. E. Tumanov, “Finite-dimensionality of the group of $CR$ automorphisms of a standard $CR$ manifold, and proper holomorphic mappings of Siegel domains”, Izv. Akad. Nauk SSSR Ser. Mat., 52:3 (1988), 651–659; Math. USSR-Izv., 32:3 (1989), 655–662
Citation in format AMSBIB
\Bibitem{Tum88}
\by A.~E.~Tumanov
\paper Finite-dimensionality of the group of $CR$~automorphisms of a~standard $CR$~manifold, and proper holomorphic mappings of Siegel domains
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 3
\pages 651--659
\mathnet{http://mi.mathnet.ru/im1198}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=954301}
\zmath{https://zbmath.org/?q=an:0666.32022|0655.32026}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 3
\pages 655--662
\crossref{https://doi.org/10.1070/IM1989v032n03ABEH000804}
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  • https://doi.org/10.1070/IM1989v032n03ABEH000804
  • https://www.mathnet.ru/eng/im/v52/i3/p651
    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:383
    Russian version PDF:125
    English version PDF:9
    References:43
    First page:1
     
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