On metrics of curvature 1 with four conic singularities on tori and on the sphere

Alexandre Eremenko; Andrei Gabrielov

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arXiv · 1508.06510

On metrics of curvature 1 with four conic singularities on tori and on the sphere

Alexandre Eremenko·Andrei Gabrielov

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Abstract

We discuss conformal metrics of curvature 1 on tori and on the sphere, with four conic singularities whose angles are multiples of pi/2. Besides some general results we study in detail the family of such symmetric metrics on the sphere, with angles (pi/2,3pi/2,pi/2,3pi/2).

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Alexandre Eremenko, Andrei Gabrielov. 2015-08-26. On metrics of curvature 1 with four conic singularities on tori and on the sphere. https://arxiv.org/abs/1508.06510

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