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

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Publication:3450176
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DOI10.1090/proc/12682zbMath1338.30039arXiv1402.2555OpenAlexW1838695965MaRDI QIDQ3450176

Sergiu Moroianu, Corina Ciobotaru

Publication date: 3 November 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2555

zbMATH Keywords

renormalized volumealmost-Fuchsian hyperbolic 3-manifolds


Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60)


Related Items

No ensemble averaging below the black hole threshold



Cites Work

  • Unnamed Item
  • Holography and Riemann surfaces
  • On the renormalized volume of hyperbolic 3-manifolds
  • Renormalizing curvature integrals on Poincaré-Einstein manifolds
  • Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography
  • The holographic Weyl anomaly
  • The renormalized volume and the volume of the convex core of quasifuchsian manifolds
  • Chern-Simons line bundle on Teichmüller space
  • On almost-Fuchsian manifolds
  • ON UNIFORMIZATION OF RIEMANN SURFACES AND THE WEIL-PETERSSON METRIC ON TEICHMÜLLER AND SCHOTTKY SPACES
  • THE RENORMALIZED VOLUME AND UNIFORMIZATION OF CONFORMAL STRUCTURES
  • The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
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