Characterizing 3-ideal hyperbolic polyhedra in hyperbolic 3-space by combinatorial Ricci flow

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  Around 1980,Thurston showed that "almost every" 3-manifold admits a complete hyperbolic metric.To get such a metric,he proposed to ideally triangulate the manifold and realize each tetrahedron as a hyperbolic ideal tetrahedron.He also gave a system of gluing equations in the shape parameter of these ideal tetrahedrons,whose solution corresponds to the complete hyperbolic metric.
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