An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds
An inequality for polyhedra and ideal triangulations of cusped hyperbolic 3-manifolds
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 <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M"> <mml:semantics> <mml:mi>M</mml:mi> <mml:annotation encoding="application/x-tex">M</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a hyperbolic 3-manifold obtained by identifying the faces of …