Download this article
 Download this article For screen
For printing
Recent Issues

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
The infimum of the dual volume of convex cocompact hyperbolic $3$–manifolds

Filippo Mazzoli

Geometry & Topology 27 (2023) 2319–2346
Abstract

We show that the infimum of the dual volume of the convex core of a convex cocompact hyperbolic 3–manifold with incompressible boundary coincides with the infimum of the Riemannian volume of its convex core, as we vary the geometry by quasi-isometric deformations. We deduce a linear lower bound of the volume of the convex core of a quasi-Fuchsian manifold in terms of the length of its bending measured lamination, with optimal multiplicative constant.

Keywords
hyperbolic geometry, dual volume, Kleinian groups, convex core, convex cocompact
Mathematical Subject Classification
Primary: 30F40
Secondary: 52A15, 57M50
References
Publication
Received: 1 March 2021
Revised: 23 December 2021
Accepted: 24 January 2022
Published: 25 August 2023
Proposed: Ian Agol
Seconded: Mladen Bestvina, David Fisher
Authors
Filippo Mazzoli
Department of Mathematics
University of Virginia
Charlotteville, VA
United States

Open Access made possible by participating institutions via Subscribe to Open.