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Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space

Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space

来源:Arxiv_logoArxiv
英文摘要

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.

Igor Rivin

数学

Igor Rivin.Intrinsic geometry of convex ideal polyhedra in hyperbolic 3-space[EB/OL].(2000-05-23)[2025-08-02].https://arxiv.org/abs/math/0005234.点此复制

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