Add to ORKGKomori and Umemoto detected combinatorial shapes of Dirichlet polyhedra for simplex groups acting on hyperbolic space. We generalize their result to simplex groups acting on Euclidean or spherical spaces
AbstractLet P be a convex polytope in the Euclidean space En. Consider the group GP generated by ref...
A Dirichlet fundamental polygon for a Fuchsian group is said to be generic if its combinatorial shap...
Abstract. We are generalizing to higher dimensions the Bavard-Ghys construction of the hyperbolic me...
We consider cyclic groups G generated by an ellipto-parabolic isometry of complex hyperbolic space. ...
The main objects of study in this thesis are the reflection groups associated with hyperbolic simpli...
In this paper we describe the data structures and the procedures of a program, which is...
The question driving this thesis is, \lq\lq{}What are the hyperbolic analogues of the Euclidean wall...
The S2×R geometry can be derived by the direct product of the spherical plane S2 and the real line R...
International audienceWe show that the Teichmüller space of the triangle groups of type (p,q,∞) in t...
The key idea in geometric group theory is to study infinite groups by endowing them with a metric an...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
We prove a version of Shimizu’s lemma for quaternionic hyperbolic space. Namely, consider groups of ...
In this thesis we study space groups and their applications in discrete geometry. We begin by givin...
AbstractWe show that the Teichmüller space of the triangle groups of type (p,q,∞) in the automorphis...
Introduction A basic problem in geometry is the deformation problem. One starts with a nitely gener...
AbstractLet P be a convex polytope in the Euclidean space En. Consider the group GP generated by ref...
A Dirichlet fundamental polygon for a Fuchsian group is said to be generic if its combinatorial shap...
Abstract. We are generalizing to higher dimensions the Bavard-Ghys construction of the hyperbolic me...
We consider cyclic groups G generated by an ellipto-parabolic isometry of complex hyperbolic space. ...
The main objects of study in this thesis are the reflection groups associated with hyperbolic simpli...
In this paper we describe the data structures and the procedures of a program, which is...
The question driving this thesis is, \lq\lq{}What are the hyperbolic analogues of the Euclidean wall...
The S2×R geometry can be derived by the direct product of the spherical plane S2 and the real line R...
International audienceWe show that the Teichmüller space of the triangle groups of type (p,q,∞) in t...
The key idea in geometric group theory is to study infinite groups by endowing them with a metric an...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
We prove a version of Shimizu’s lemma for quaternionic hyperbolic space. Namely, consider groups of ...
In this thesis we study space groups and their applications in discrete geometry. We begin by givin...
AbstractWe show that the Teichmüller space of the triangle groups of type (p,q,∞) in the automorphis...
Introduction A basic problem in geometry is the deformation problem. One starts with a nitely gener...
AbstractLet P be a convex polytope in the Euclidean space En. Consider the group GP generated by ref...
A Dirichlet fundamental polygon for a Fuchsian group is said to be generic if its combinatorial shap...
Abstract. We are generalizing to higher dimensions the Bavard-Ghys construction of the hyperbolic me...