English

Existence of ruled wrappings in hyperbolic 3-manifolds

Geometric Topology 2009-03-03 v1

Abstract

We present a short elementary proof of an existence theorem of certain CAT(-1)-surfaces in open hyperbolic 3-manifolds. The main construction lemma in Calegari and Gabai's proof of Marden's Tameness Conjecture can be replaced by an applicable version of our theorem.

Keywords

Cite

@article{arxiv.0903.0166,
  title  = {Existence of ruled wrappings in hyperbolic 3-manifolds},
  author = {Teruhiko Soma},
  journal= {arXiv preprint arXiv:0903.0166},
  year   = {2009}
}

Comments

This is the version published by Geometry & Topology on 12 September 2006