This article is cited 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.

UDC: 519.63

Received: 12.05.1991

 English version: Siberian Mathematical Journal, 1993, 34:1, 172–180

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