2 papers
math.GR2007
Hyperbolic Geometry and Distance Functions on Discrete Groups
Anne Thomas
Chapter 1 is a short history of non-Euclidean geometry, which synthesises my readings of mostly secondary sources. Chapter 2 presents each of the main models of hyperbolic geometry…
math.GR2005
Covolumes of uniform lattices acting on polyhedral complexes
Anne Thomas
Let X be a polyhedral complex with finitely many isometry classes of links. We establish a restriction on the covolumes of uniform lattices acting on X. When X is two-dimensional a…