Positivity of the renormalized volume of almost-Fuchsian hyperbolic $3$-manifolds

Corina Ciobotaru; Sergiu Moroianu

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arXiv · 1402.2555

Positivity of the renormalized volume of almost-Fuchsian hyperbolic $3$-manifolds

Corina Ciobotaru·Sergiu Moroianu

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Abstract

We prove that the renormalized volume of almost-Fuchsian hyperbolic $3$-manifolds is non-negative, with equality only for Fuchsian manifolds.

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Corina Ciobotaru, Sergiu Moroianu. 2014-02-11. Positivity of the renormalized volume of almost-Fuchsian hyperbolic $3$-manifolds. https://arxiv.org/abs/1402.2555

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