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Metrics of constant curvature 1 with three conical singularities on 2-sphere

Masaaki Umehara, Kotaro Yamada

math.DGarXiv:math/9801137

Abstract

A necessary and sufficient condition for the existence and uniqueness of a conformal metric on 2-sphere of constant curvature 1 and with three conical singularities of prescribed order is given.

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