Spherical metrics with conical singularities on 2-spheres

Subhadip Dey

Suppose that ${\theta }_1,{\theta }_2,\dots ,{\theta }_n$ are positive numbers and $n\ge 3$. Does there exist a sphere with a spherical metric with $n$ conical singularities of angles $2πθ_1,2πθ_2,\dots,2π…