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

Published 18 Oct 2010 in math.GT | (1010.3591v1)

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.

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