7 citations · 8 across the 2 of their papers we have counts for
4 papers
Complex twist flows on surface group representations and the local shape of the deformation space of hyperbolic cone-3-manifolds
Grégoire Montcouquiol, Hartmut Weiß
In two former papers, the authors independently proved that the space of hyperbolic cone-3-manifolds with cone angles less than 2π and fixed singular locus is locally parametrized…
Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra
Rafe Mazzeo, Gregoire Montcouquiol
The deformation theory of hyperbolic and Euclidean cone-manifolds with all cone angles less then 2π plays an important role in many problems in low dimensional topology and in the…
Deformations of hyperbolic convex polyhedra and 3-cone-manifolds
Grégoire Montcouquiol
The Stoker problem, first formulated in 1968, consists in understanding to what extent a convex polyhedron is determined by its dihedral angles. By means of the double construction…
Rigidité infinitésimale de cônes-variétés Einstein à courbure négative
Grégoire Montcouquiol
Starting with a compact hyperbolic cone-manifold of dimension greater than or equal to 3, we study the deformations of the metric with the aim of getting Einstein cone-manifolds. I…