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

Umehara, Masaaki; Yamada, Kotaro

Illinois J. Math., Tome 44 (2000) no. 4, p. 72-94 / Harvested from Project Euclid

Résumé

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.

Publié le : 2000-03-15
Classification: 53C21, 53A10

@article{1255984954,
     author = {Umehara, Masaaki and Yamada, Kotaro},
     title = {Metrics of constant curvature 1 with three conical singularities on the $2$-sphere},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 72-94},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984954}
}

Umehara, Masaaki; Yamada, Kotaro. Metrics of constant curvature 1 with three conical singularities on the $2$-sphere. Illinois J. Math., Tome 44 (2000) no. 4, pp.  72-94. http://gdmltest.u-ga.fr/item/1255984954/