Publication

Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities).

Marc Troyanov
1986
Journal paper

Abstract

We prove in this paper that evry compact Riemann surface carries an euclidean (flat) conformal metric with precribed conical singularities of given angles, provided the Gauss-Bonnet relation is satisfied. This metric is unique up to homothety.

Official source

https://infoscience.epfl.ch/record/114937?ln=en

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Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities).

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