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

arxiv: 1402.2555 · v2 · pith:BUNKLRYKnew · submitted 2014-02-11 · 🧮 math.DG

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

Corina Ciobotaru , Sergiu Moroianu This is my paper

classification 🧮 math.DG

keywords manifoldsalmost-fuchsianhyperbolicrenormalizedvolumeequalityfuchsiannon-negative

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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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