English

Holography and the geometry of certain convex cocompact hyperbolic 3-manifolds

Differential Geometry 2007-05-23 v2 Mathematical Physics math.MP

Abstract

Krasnov (arXiv: hep-th/0005106) identified the renormalized volume of a Schottky 3-manifold with the action of the Liouville theory on the conformal infiinity. We try to compute the renormalized volume in terms of more transparent geometric quantities.

Keywords

Cite

@article{arxiv.math/0210164,
  title  = {Holography and the geometry of certain convex cocompact hyperbolic 3-manifolds},
  author = {Xiaodong Wang},
  journal= {arXiv preprint arXiv:math/0210164},
  year   = {2007}
}

Comments

A mistake is corrected and consequently the statement of the results is different