Volume estimatesfor equiangular hyperbolic Coxeter polyhedra

  title={Volume estimatesfor equiangular hyperbolic Coxeter polyhedra},
  author={Christopher K. Atkinson},
An orientable 3–orbifold, Q, is determined by an underlying 3–manifold, XQ and a trivalent graph, †Q , labeled by integers. If Q carries a hyperbolic structure then it is unique by Mostow rigidity, so the hyperbolic volume of Q is an invariant of Q. Therefore, for hyperbolic orbifolds with a fixed underlying manifold, the volume is a function of the labeled graph †. In this paper, methods for estimating the volume of orbifolds of a restricted type in terms of this labeled graph will be… CONTINUE READING

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