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Additive continuity of the renormalized volume under geometric limits
Published 14 Aug 2017 in math.DG and math.GT | (1708.04009v1)
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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