English

Kleinian groups which are almost fuchsian

Differential Geometry 2018-08-02 v1 Geometric Topology

Abstract

We consider the space of all quasifuchsian metrics on the product of a surface with the real line. We show that, in a neighborhood of the submanifold consisting of fuchsian metrics, every non-fuchsian metric is completely determined by the bending data of its convex core.

Keywords

Cite

@article{arxiv.math/0210233,
  title  = {Kleinian groups which are almost fuchsian},
  author = {Francis Bonahon},
  journal= {arXiv preprint arXiv:math/0210233},
  year   = {2018}
}

Comments

AmsLaTeX file, 12 pages