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math.DG2009★ 1 cited
Affine deformations of a three-holed sphere
Virginie Charette, Todd A. Drumm, William M. Goldman
Associated to every complete affine 3-manifold M with nonsolvable fundamental group is a noncompact hyperbolic surface S. We classify such complete affine structures when Sigma is…
math.DG2009
Stretching three-holed spheres and the Margulis invariant
Virginie Charette, Todd A. Drumm, William M. Goldman
This paper applies the authors' forthcoming work, "Affine deformations of a three-holed sphere" in Lorentzian geometry to prove a result in hyperbolic geometry. Namely, an infinite…