paper

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

arXiv:1010.3591

Abstract

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.

arXiv comment8 pages