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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 215, Pages 50–64 (Mi znsl5922)  

On algebraic-geometrical parametrization of the constant mean curvature tori

R. F. Bikbaev

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
Abstract: A Theorem is proved providing local coordinates for the constant mean curvature tori in $\mathbb R^3$. Related algebraic-geometrical problems arising in analysis of complex spectra deformations are discussed. Bibliography: 17 titles.
Received: 25.07.1993
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 1, Pages 1586–1595
DOI: https://doi.org/10.1007/BF02355319
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: R. F. Bikbaev, “On algebraic-geometrical parametrization of the constant mean curvature tori”, Differential geometry, Lie groups and mechanics. Part 14, Zap. Nauchn. Sem. POMI, 215, Nauka, St. Petersburg, 1994, 50–64; J. Math. Sci. (New York), 85:1 (1997), 1586–1595
Citation in format AMSBIB
\Bibitem{Bik94}
\by R.~F.~Bikbaev
\paper On algebraic-geometrical parametrization of the constant mean curvature tori
\inbook Differential geometry, Lie groups and mechanics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 215
\pages 50--64
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5922}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1329974}
\zmath{https://zbmath.org/?q=an:0871.53010|0907.53004}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 1
\pages 1586--1595
\crossref{https://doi.org/10.1007/BF02355319}
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