Additive continuity of the renormalized volume under geometric limits
arXiv:1708.04009
Abstract
We study the infimum of the renormalized volume for convex-cocompact hyperbolic manifolds, as well as describing how a sequence converging to such values behaves. In particular, we show that the renormalized volume is continuous under the appropriate notion of limit. This result generalizes previous work in the subject.
24 pages, 5 figures