An Inequality for Polyhedra and Ideal Triangulations of Cusped Hyperbolic 3-manifolds
نویسندگان
چکیده
It is not known whether every noncompact hyperbolic 3-manifold of finite volume admits a decomposition into ideal tetrahedra. We give a partial solution to this problem: Let M be a hyperbolic 3-manifold obtained by identifying the faces of n convex ideal polyhedra P1, . . . , Pn. If the faces of P1, . . . , Pn−1 are glued to Pn, then M can be decomposed into ideal tetrahedra by subdividing the Pi’s.
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