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

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.


Published in:
Enseign. Math. (2), 32, 79-94
Year:
1986
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 Record created 2007-12-17, last modified 2018-03-17

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