English

Volume and structure of hyperbolic 3-manifolds

Geometric Topology 2024-09-02 v4

Abstract

In this paper, we show that Gromov-Thurston's principle works for hyperbolic 3-manifolds of infinite volume and with finitely generated fundamental group. As an application, we have a new proof of Ending Lamination Theorem. Our proof essentially relays only on Maximum Volume Law for hyperbolic 3-simplices.

Keywords

Cite

@article{arxiv.1906.00595,
  title  = {Volume and structure of hyperbolic 3-manifolds},
  author = {Teruhiko Soma},
  journal= {arXiv preprint arXiv:1906.00595},
  year   = {2024}
}

Comments

This paper needs to be revised in many parts

R2 v1 2026-06-23T09:38:12.574Z