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arXiv 1708.04009math.DGmath.GT
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几何极限下重整化体积的加法连续性

Additive continuity of the renormalized volume under geometric limits

Franco Vargas Pallete

摘要:

我们研究了凸-余紧双曲流形的重整化体积的下确界,以及描述序列如何收敛到这样的值的行为。特别地,我们证明了重整化体积在适当的极限概念下是连续的。这一结果推广了以前的工作中的主题。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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