17 citations · 20 across the 4 of their papers we have counts for
4 papers
Asymptotic cones, bi-Lipschitz ultraflats, and the geometric rank of geodesics
S. Francaviglia, J. -F. Lafont
Given a geodesic inside a simply-connected, complete, non-positively curved Riemannian (NPCR) manifold M, we get an associated geodesic inside the asymptotic cone Cone(M). Under mi…
Rigidity of representations in SO(4,1) for Dehn fillings on 2-bridge knots
Stefano Francaviglia, Joan Porti
We prove that, for a hyperbolic two bridge knot, infinitely many Dehn fillings are rigid in . Here rigidity means that any discrete and faithful representation in $SO_0(…
Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds
Stefano Francaviglia
Let W be a compact manifold and let ρbe a representation of its fundamental group into PSL(2,C). The volume of ρis defined by taking any ρ-equivariant map from the universal cover…
Algebraic and geometric solutions of hyperbolic Dehn filling equations
S. Francaviglia
In this paper we study the difference between algebraic and geometric solutions of the hyperbolic Dehn filling equations for ideally triangulated 3-manifolds. We show that any geom…