## The geometry and topology of three-manifolds

- W P Thurston
- Princeton Univ. Math. Dept. Lecture Notes (1979…
- 2009

@inproceedings{Atkinson2009VolumeEE, title={Volume estimatesfor equiangular hyperbolic Coxeter polyhedra}, author={Christopher K. Atkinson}, year={2009} }

- Published 2009

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