English

Convex co-compact hyperbolic manifolds are determined by their pleating lamination

Geometric Topology 2024-05-08 v2 Differential Geometry

Abstract

Convex co-compact 3-dimensional hyperbolic manifolds are uniquely determined by the pleating measured lamination on the boundary of their convex core.

Keywords

Cite

@article{arxiv.2403.10090,
  title  = {Convex co-compact hyperbolic manifolds are determined by their pleating lamination},
  author = {Bruno Dular and Jean-Marc Schlenker},
  journal= {arXiv preprint arXiv:2403.10090},
  year   = {2024}
}

Comments

13 pages, 1 figure. v2: argument expanded to include manifolds with compressible boundary. Added some references and explanations

R2 v1 2026-06-28T15:21:24.324Z