Renormalized volume and the volume of the convex core
Differential Geometry
2017-07-10 v3 Geometric Topology
Abstract
We obtain upper and lower bounds on the difference between the renormalized volume and the volume of the convex core of a convex cocompact hyperbolic 3-manifold which depend on the injectivity radius of the boundary of the universal cover of the convex core and the Euler characteristic of the boundary of the convex core. These results generalize results of Schlenker obtained in the setting of quasifuchsian hyperbolic 3-manifolds.
Keywords
Cite
@article{arxiv.1502.05018,
title = {Renormalized volume and the volume of the convex core},
author = {Martin Bridgeman and Richard Canary},
journal= {arXiv preprint arXiv:1502.05018},
year = {2017}
}