Volume and structure of hyperbolic 3-manifolds

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1. Verfasser: Soma, Teruhiko
Format: Preprint
Veröffentlicht: 2019
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author Soma, Teruhiko
author_facet Soma, Teruhiko
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1906_00595
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Volume and structure of hyperbolic 3-manifolds
Soma, Teruhiko
Geometric Topology
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.
title Volume and structure of hyperbolic 3-manifolds
topic Geometric Topology
url https://arxiv.org/abs/1906.00595