Geodesic
Conformal pasting on a torus
Matematičeskie zametki, Tome 16 (1974) no. 1, pp. 83-90 
N. I. Zhukova. Conformal pasting on a torus. Matematičeskie zametki, Tome 16 (1974) no. 1, pp. 83-90. http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a9/
@article{MZM_1974_16_1_a9,
     author = {N. I. Zhukova},
     title = {Conformal pasting on a~torus},
     journal = {Matemati\v{c}eskie zametki},
     pages = {83--90},
     year = {1974},
     volume = {16},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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. We obtain an algebraic equation for the new torus, and we find the function which accomplishes the conformal pasting.