Literature Cited
D. E. Men'shov [D. E. Menchoff], “Sur la representation conforme des domaines plans,” Math. Ann.,95, 640–670 (1926).
Yu. G. Reshetnyak, “Isothermal coordinates in manifolds of bounded curvature. I,” Sib. Mat. Zh.,1, No. 1, 88–116 (1960).
Yu. G. Reshetnyak, “Isothermal coordinates in manifolds of bounded curvature. II,” Sib. Mat. Zh.,1, No. 2, 248–276 (1960).
Yu. G. Reshetnyak, “The length of a curve in a manifold of bounded curvature,” Sib. Mat. Zh.,4, No. 1, 212–226 (1963).
Yu. G. Reshetnyak, “Rotation of a curve in a manifold of bounded curvature with an isometric line element,” Sib. Mat. Zh.,4, No. 3, 870–911 (1963).
V. V. Usov, “On conformal mappings of manifolds of bounded curvature,” Dokl. Akad. Nauk SSSR,248, No. 4, 796–798 (1979).
Additional information
Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 187–189, September–October, 1990.
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Usov, V.V. Conformal mappings of manifolds of bounded curvature that preserve curvature of sets. Sib Math J 31, 857–859 (1990). https://doi.org/10.1007/BF00974504
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DOI: https://doi.org/10.1007/BF00974504