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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 1, Pages 193–203
(Mi smj1708)
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This article is cited in 3 scientific papers (total in 3 papers)
Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature
G. A. Chumakov
Abstract:
It is proved that, for any curvilinear quadrangle having prescribed four angles with positive excess, there exists a unique (up to motion) quadrangle with the same angles on a sphere which can be conformally mapped onto the former quadrangle and such that the vertices go into the vertices.
Received: 12.05.1991
Citation:
G. A. Chumakov, “Conformal parametrization of curvilinear quadrangles by means of geodesic quadrangles on surfaces of constant positive curvature”, Sibirsk. Mat. Zh., 34:1 (1993), 193–203; Siberian Math. J., 34:1 (1993), 172–180
Linking options:
https://www.mathnet.ru/eng/smj1708 https://www.mathnet.ru/eng/smj/v34/i1/p193
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