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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 253, Pages 101–110 (Mi tm87)  
This article is cited in 5 scientific papers (total in 5 papers)

Holomorphic Equivalence of Tube Domains in C2

N. G. Kruzhilina, P. A. Soldatkinb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Russian State University for the Humanities
Full-text PDF (201 kB) Citations (5)
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Abstract: It is proved that, except in a few explicitly described cases, two connected tube domains in C2 are biholomorphically equivalent if and only if they are affinely equivalent.
Received in November 2005
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 253, Pages 90–99
DOI: https://doi.org/10.1134/S008154380602009X
Bibliographic databases:
Document Type: Article
UDC: 517.55+515.177
Language: Russian
Citation: N. G. Kruzhilin, P. A. Soldatkin, “Holomorphic Equivalence of Tube Domains in C2”, Complex analysis and applications, Collected papers, Trudy Mat. Inst. Steklova, 253, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 101–110; Proc. Steklov Inst. Math., 253 (2006), 90–99
Citation in format AMSBIB
\Bibitem{KruSol06}
\by N.~G.~Kruzhilin, P.~A.~Soldatkin
\paper Holomorphic Equivalence of Tube Domains in~$\mathbb C^2$
\inbook Complex analysis and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 253
\pages 101--110
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm87}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338691}
\zmath{https://zbmath.org/?q=an:1351.32002}
\elib{https://elibrary.ru/item.asp?id=13515690}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 253
\pages 90--99
\crossref{https://doi.org/10.1134/S008154380602009X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748300571}
Linking options:
  • https://www.mathnet.ru/eng/tm87
  • https://www.mathnet.ru/eng/tm/v253/p101
    • This publication is cited in the following 5 articles:
    1. Isaev A., “Affine rigidity of Levi degenerate tube hypersurfaces”, J. Differ. Geom., 104:1 (2016), 111–141  crossref  mathscinet  zmath  isi  elib  scopus
    2. Satoru Shimizu, “Prolongation of holomorphic vector fields on a tube domain”, Tohoku Math. J. (2), 65:4 (2013)  crossref
    3. Isaev A.V., “On the number of affine equivalence classes of spherical tube hypersurfaces”, Math. Ann., 349:1 (2011), 59–74  crossref  mathscinet  zmath  isi  elib  scopus
    4. Isaev A., Spherical tube hypersurfaces, Lecture Notes in Math., 2020, Springer, Heidelberg, 2011, xii+220 pp.  crossref  mathscinet  zmath  isi  scopus
    5. Isaev A.V., “Zero CR-curvature equations for rigid and tube hypersurfaces”, Complex Var. Elliptic Equ., 54:3-4 (2009), 317–344  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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