Groups, Geometry, and Dynamics


Full-Text PDF (279 KB) | Metadata | Table of Contents | GGD summary
Volume 7, Issue 1, 2013, pp. 13–38
DOI: 10.4171/GGD/176

Published online: 2013-01-31

Hyperplane arrangements in negatively curved manifolds and relative hyperbolicity

Igor Belegradek[1] and G. Christopher Hruska[2]

(1) Georgia Institute of Technology, Atlanta, United States
(2) University of Wisconsin–Milwaukee, USA

We show that certain aspherical manifolds arising from hyperplane arrangements in negatively curved manifolds have relatively hyperbolic fundamental group.

Keywords: Relatively hyperbolic group, hyperplane arrangement, simplicial volume, negatively curved manifold

Belegradek Igor, Hruska G. Christopher: Hyperplane arrangements in negatively curved manifolds and relative hyperbolicity. Groups Geom. Dyn. 7 (2013), 13-38. doi: 10.4171/GGD/176