On the Renormalized Volume of Hyperbolic 3-Manifolds

2008/03/03 by Kirill Krasnov, Jean-Marc Schlenker, Jean‐Marc Schlenker · 11 citations
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Geometric Analysis and Curvature Flows

paper · doi:10.1007/s00220-008-0423-7

Citations

• Liouville Action and Weil-Petersson Metric on Deformation Spaces, Global Kleinian Reciprocity and Holography

Cited by

• Liouville Action and Holography on Quasi-Fuchsian Deformation Spaces
• A horofunction counterpart to Teichmüller distance
• Continuity of the renormalized volume under geometric limits
• Upper bounds on Renormalized Volume for Schottky groups
• Volume functions and boundary data of 3-dimensional hyperbolic manifolds
• Notes on the Schwarzian tensor and measured foliations at infinity of quasifuchsian manifolds
• Projective rigidity of circle patterns and polyhedral surfaces in hyperbolic ends
• Comparing hyperbolic and extremal lengths for shortest curves
• Adapted Renormalized Volume for Hyperbolic 3-Manifolds with Compressible Boundary
• Some open questions on anti-de Sitter geometry
• Additive continuity of the renormalized volume under geometric limits