On metrics of constant positive curvature with four conic singularities on the sphere

Alexandre Eremenko

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arXiv · 1905.02537

On metrics of constant positive curvature with four conic singularities on the sphere

Alexandre Eremenko

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Abstract

We show that for given four points on the sphere and prescribed angles at these points, which are not multiples of $2\pi$, the number of metrics of curvature 1 having conic singularities with these angles at these points is finite.

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Alexandre Eremenko. 2019-05-07. On metrics of constant positive curvature with four conic singularities on the sphere. https://arxiv.org/abs/1905.02537

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