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Matematicheskie Trudy, 2010, Volume 13, Number 2, Pages 3–9 (Mi mt197)  
This article is cited in 4 scientific papers (total in 4 papers)

On constant mean curvature surfaces in the Heisenberg group

D. A. Berdinskyab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (157 kB) Citations (4)
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Abstract: This work is devoted to the theory of surfaces of constant mean curvature in the three-dimensional Heisenberg group. It is proved that each surface of such a kind locally corresponds to some solution of the system of a sine-Gordon type equation and a first order partial differential equation.
Key words: Heisenberg group, constant mean curvature surface.
Received: 09.04.2010
English version:
Siberian Advances in Mathematics, 2012, Volume 22, Issue 2, Pages 75–79
DOI: https://doi.org/10.3103/S1055134412020010
Bibliographic databases:
Document Type: Article
UDC: 514.772.22
Language: Russian
Citation: D. A. Berdinsky, “On constant mean curvature surfaces in the Heisenberg group”, Mat. Tr., 13:2 (2010), 3–9; Siberian Adv. Math., 22:2 (2012), 75–79
Citation in format AMSBIB
\Bibitem{Ber10}
\by D.~A.~Berdinsky
\paper On constant mean curvature surfaces in the Heisenberg group
\jour Mat. Tr.
\yr 2010
\vol 13
\issue 2
\pages 3--9
\mathnet{http://mi.mathnet.ru/mt197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789954}
\transl
\jour Siberian Adv. Math.
\yr 2012
\vol 22
\issue 2
\pages 75--79
\crossref{https://doi.org/10.3103/S1055134412020010}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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