Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space

Abstract

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.

arXiv comment13 pages; appeared in proceedings of the 1992 nordic math congress; very difficult to find

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