A note on complete hyperbolic structures on ideal triangulated 3-manifolds

Details A note on complete hyperbolic structures on ideal triangulated 3-manifolds A note on complete hyperbolic structures on ideal triangulated 3-manifolds

2010-10-18

arxiv.org/abs/1010.3591v1

Mathematics

Geometric Topology

8 pages

Scientific paper

It is a theorem of Casson and Rivin that the complete hyperbolic metric on a
cusp end ideal triangulated 3-manifold maximizes volume in the space of all
positive angle structures. We show that the conclusion still holds if some of
the tetrahedra in the complete metric are flat.

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