Geodesic
Isothermic coordinates on singular surfaces
Sbornik. Mathematics, Tome 195 (2004) no. 1, pp. 65-83

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The existence of isothermic coordinates is proved for special classes of irregular surfaces. The smoothness properties of isothermic representations are investigated. 
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     author = {V. M. Miklyukov},
     title = {Isothermic coordinates on singular surfaces},
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     url = {http://geodesic.mathdoc.fr/item/SM_2004_195_1_a3/}
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V. M. Miklyukov. Isothermic coordinates on singular surfaces. Sbornik. Mathematics, Tome 195 (2004) no. 1, pp. 65-83. http://geodesic.mathdoc.fr/item/SM_2004_195_1_a3/