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math.DGFeb 1, 2014
3
citations (OpenAlex)
authors
  • Corina Ciobotaru
  • Sergiu Moroianu
institutions
  • IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române
  • Romanian Academy
  • University of Geneva
arXiv abstractPDF
paper

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

arXiv:1402.2555

Abstract

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

10 pages, to appear in Proceedings AMS

Cited by in corpus (2)

  • Renormalized volume on the Teichmüller space of punctured surfaces
  • Local convexity of renormalized volume for rank-1 cusped manifolds
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