Open Access
Translator Disclaimer
2009 Geometry and rank of fibered hyperbolic $3$–manifolds
Ian Biringer
Algebr. Geom. Topol. 9(1): 277-292 (2009). DOI: 10.2140/agt.2009.9.277

Abstract

Recall that the rank of a finitely generated group is the minimal number of elements needed to generate it. In [Comm. Anal. Geom. 10 (2002) 377-395], M White proved that the injectivity radius of a closed hyperbolic 3–manifold M is bounded above by some function of rank(π1(M)). Building on a technique that he introduced, we determine the ranks of the fundamental groups of a large class of hyperbolic 3–manifolds fibering over the circle.

Citation

Download Citation

Ian Biringer. "Geometry and rank of fibered hyperbolic $3$–manifolds." Algebr. Geom. Topol. 9 (1) 277 - 292, 2009. https://doi.org/10.2140/agt.2009.9.277

Information

Received: 11 June 2008; Revised: 7 September 2008; Accepted: 19 January 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1182.57012
MathSciNet: MR2482077
Digital Object Identifier: 10.2140/agt.2009.9.277

Subjects:
Primary: 57M50

Rights: Copyright © 2009 Mathematical Sciences Publishers

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.9 • No. 1 • 2009
MSP
Back to Top