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

Alexandre Eremenko; Andrei Gabrielov

arxiv: 1508.06510 · v4 · pith:22EOSHSKnew · submitted 2015-08-26 · 🧮 math.CV · math.AP· math.CA

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

Alexandre Eremenko , Andrei Gabrielov This is my paper

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keywords metricssphereanglesconiccurvaturefoursingularitiestori

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

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