Additive continuity of the renormalized volume under geometric limits
classification
🧮 math.DG
math.GT
keywords
renormalizedvolumeunderadditiveappropriatebehavescontinuitycontinuous
read the original 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.
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