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Réalisations de surfaces hyperboliques complètes dans $H^3$

Réalisations de surfaces hyperboliques complètes dans $H^3$

Let K 0 ∈]-1,0[. Each complete metric with constant curvature K 0 on the sphere with N≥1 holes admits a unique realization as the induced metric on an embedded surface in H 3 whose boundary at infinity is a disjoint union of circles. In a dual way, each metric with …