Add to ORKGWe consider cyclic groups G generated by an ellipto-parabolic isometry of complex hyperbolic space. We show that the Dirichlet fundamental polyhedron for G centred at z(0) has two faces if z(0) is on the axis of the generator, otherwise it has infinitely many faces
In this thesis we study the discreteness criteria for complex hyperbolic triangle groups, generated ...
A complex hyperbolic triangle group is the group of complex hyperbolic isometries generated by compl...
This text is concerned with the construction of fundamental polygons for coverings of finite multipl...
Komori and Umemoto detected combinatorial shapes of Dirichlet polyhedra for simplex groups acting on...
Introduction A basic problem in geometry is the deformation problem. One starts with a nitely gener...
We construct discrete and faithful representations into the isometry group of a hyperbolic ...
We prove that any finitely generated group which splits as a graph of free groups with cyclic edge g...
We construct discrete and faithful representations into the isometry group of a hyperbolic ...
International audienceWe show that the Teichmüller space of the triangle groups of type (p,q,∞) in t...
A Dirichlet fundamental polygon for a Fuchsian group is said to be generic if its combinatorial shap...
AbstractWe show that the Teichmüller space of the triangle groups of type (p,q,∞) in the automorphis...
We determine explicit formulas for the Poincare ́ bisectors used in constructing a Dirichlet fundame...
Abstract. We construct examples of free-by-cyclic hyperbolic groups which fiber in infinitely many w...
AbstractWe consider compact hyperbolic Coxeter polytopes whose Coxeter diagram contains a unique dot...
Abstract. We construct examples of CAT (0), free-by-cyclic, hyperbolic groups which fiber in infinit...
In this thesis we study the discreteness criteria for complex hyperbolic triangle groups, generated ...
A complex hyperbolic triangle group is the group of complex hyperbolic isometries generated by compl...
This text is concerned with the construction of fundamental polygons for coverings of finite multipl...
Komori and Umemoto detected combinatorial shapes of Dirichlet polyhedra for simplex groups acting on...
Introduction A basic problem in geometry is the deformation problem. One starts with a nitely gener...
We construct discrete and faithful representations into the isometry group of a hyperbolic ...
We prove that any finitely generated group which splits as a graph of free groups with cyclic edge g...
We construct discrete and faithful representations into the isometry group of a hyperbolic ...
International audienceWe show that the Teichmüller space of the triangle groups of type (p,q,∞) in t...
A Dirichlet fundamental polygon for a Fuchsian group is said to be generic if its combinatorial shap...
AbstractWe show that the Teichmüller space of the triangle groups of type (p,q,∞) in the automorphis...
We determine explicit formulas for the Poincare ́ bisectors used in constructing a Dirichlet fundame...
Abstract. We construct examples of free-by-cyclic hyperbolic groups which fiber in infinitely many w...
AbstractWe consider compact hyperbolic Coxeter polytopes whose Coxeter diagram contains a unique dot...
Abstract. We construct examples of CAT (0), free-by-cyclic, hyperbolic groups which fiber in infinit...
In this thesis we study the discreteness criteria for complex hyperbolic triangle groups, generated ...
A complex hyperbolic triangle group is the group of complex hyperbolic isometries generated by compl...
This text is concerned with the construction of fundamental polygons for coverings of finite multipl...