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Matematicheskie Zametki, 1974, Volume 16, Issue 1, Pages 83–90 (Mi mzm7438)  
Conformal pasting on a torus

N. I. Zhukova

Odessa Polytechnic Institute
Full-text PDF (484 kB)
Abstract: We solve the problem concerning global conformal pasting on a torus given by the algebraic equation $w^2=(1-z^2)(1-k^2z^2)$ $(0<k<1)$. We obtain an algebraic equation for the new torus, and we find the function which accomplishes the conformal pasting.
English version:
Mathematical Notes, 1974, Volume 16, Issue 1, Pages 635–639
DOI: https://doi.org/10.1007/BF01098817
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. I. Zhukova, “Conformal pasting on a torus”, Mat. Zametki, 16:1 (1974), 83–90; Math. Notes, 16:1 (1974), 635–639
Citation in format AMSBIB
\Bibitem{Zhu74}
\by N.~I.~Zhukova
\paper Conformal pasting on a~torus
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 1
\pages 83--90
\mathnet{http://mi.mathnet.ru/mzm7438}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=387574}
\zmath{https://zbmath.org/?q=an:0313.30021}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 1
\pages 635--639
\crossref{https://doi.org/10.1007/BF01098817}
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