Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space
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🧮 math.GT
math-phmath.COmath.DGmath.MGmath.MP
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hyperbolicconvexidealmetricspaceareacompleteevery
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The main result is that every complete finite area hyperbolic metric on a sphere with punctures can be uniquely realized as the induced metric on the surface of a convex ideal polyhedron in hyperbolic 3-space. A number of other observations are included.
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