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Mathematics of the USSR-Izvestiya, 1992, Volume 39, Issue 3, Pages 1151–1187
DOI: https://doi.org/10.1070/IM1992v039n03ABEH002242 (Mi im970) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Two-dimensional spheres in the boundaries of strictly pseudoconvex domains in $\mathbf C^2$

N. G. Kruzhilin
English version PDF (2256 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/IM1992v039n03ABEH002242
Abstract: It is shown that there exists a Levi-flat surface in $\mathbf C^2$ with boundary on a given two-dimensional sphere that lies in the boundary of a strictly pseudoconvex domain and is totally real everywhere except at a finite number of elliptic and hyperbolic points.
Received: 06.04.1991
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 32F15, 32F25
Language: English
Original paper language: Russian
Citation: N. G. Kruzhilin, “Two-dimensional spheres in the boundaries of strictly pseudoconvex domains in $\mathbf C^2$”, Math. USSR-Izv., 39:3 (1992), 1151–1187
Citation in format AMSBIB
\Bibitem{Kru91}
\by N.~G.~Kruzhilin
\paper Two-dimensional spheres in the boundaries of strictly pseudoconvex domains in $\mathbf C^2$
\jour Math. USSR-Izv.
\yr 1992
\vol 39
\issue 3
\pages 1151--1187
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\crossref{https://doi.org/10.1070/IM1992v039n03ABEH002242}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1152210}
\zmath{https://zbmath.org/?q=an:0778.32003|0744.32004}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..39.1151K}
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  • https://www.mathnet.ru/eng/im/v55/i6/p1194
    • This publication is cited in the following 11 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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