Abstract
A necessary and sufficient condition for the existence and the uniqueness of a conformal metric on a $2$-sphere of constant curvature 1 and with three conical singularities of prescribed order is given.
Citation
Masaaki Umehara. Kotaro Yamada. "Metrics of constant curvature 1 with three conical singularities on the $2$-sphere." Illinois J. Math. 44 (1) 72 - 94, Spring 2000. https://doi.org/10.1215/ijm/1255984954
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