18 citations · 34 across the 13 of their papers we have counts for
16 papers
Einstein tori and crooked surfaces
Jean-Philippe Burelle, Virginie Charette, Dominik Francoeur +1
In hyperbolic space, the angle of intersection and distance classify pairs of totally geodesic hyperplanes. A similar algebraic invariant classifies pairs of hyperplanes in the Ein…
Bisectors determining unique pairs of points in the bidisk
Virginie Charette, Todd A. Drumm, Youngju Kim
Bisectors are equidistant hypersurfaces between two points and are basic objects in a metric geometry. They play an important part in understanding the action of subgroups of isome…
McShane-type Identities for Affine Deformations
Virginie Charette, William M. Goldman
We derive an identity for Margulis invariants of affine deformations of a complete orientable one-ended hyperbolic sur- face following the identities of McShane, Mirzakhani and Tan…
Proper affine deformation spaces of two-generator Fuchsian groups
Virginie Charette, Todd A. Drumm, William M. Goldman
A Margulis spacetime is a complete flat Lorentzian 3-manifold M with free fundamental group. Associated to M is a noncompact complete hyperbolic surface S homotopy-equivalent to M.…
Foliations of Minkowski spacetime by crooked planes
Virginie Charette, Youngju Kim
Given a regular curve in Minkowski spacetime, we describe necessary and sufficient conditions for this curve to admit a family of pairwise-disjoint crooked planes. Using this crite…
Fundamental domains in the Einstein Universe
Virginie Charette, Dominik Francoeur, Rosemonde Lareau-Dussault
We will discuss fundamental domains for actions of discrete groups on the 3-dimensional Einstein Universe. These will be bounded by crooked surfaces, which are conformal compactifi…