Add to ORKGIn this note, we survey rigidity of hyperbolic cone structures and give an example of degeneration with decreasing cone angles. This example is constructed by gluing four copies of a certain polyhedron. We can explicitly describe the isometry types of such hyperbolic polyhedra. Furthermore, we introduce a generalization of cone structure to avoid intersection of cone loci
Consider a 3-dimensional manifold N obtained by gluing a finite number of ideal hyperbolic tetrahedr...
Abstract. A single parameter family of polyhedra P (ψ) is con-structed in three dimensional spaces o...
A hyperbolic triangle group is the group generated by reflections in the sides of a triangle in hype...
For 3-dimensional hyperbolic cone structures with cone angles $\theta$, local rigidity is known for ...
In a recent paper Hodgson and Kerckhoff prove a local rigidity theorem for finite volume, three-dime...
We investigate local rigidity of 3-dimensional cone-manifolds with cone-angles not larger than $pi$....
We investigate local rigidity of 3-dimensional cone-manifolds with cone-angles not larger than $pi$....
We investigate the rigidity of hyperbolic cone metrics on 3-manifolds which are isometric gluing of ...
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to...
textThis thesis investigates various rigidity and flexibility phenomena of convex projective structu...
Abstract. This work is devoted to the study of deformations of hyperbolic cone structures under the ...
L'objet de cette thèse est l'étude des déformations de structures hyperboliques coniques de type top...
This is an overview on hyperbolic cone 3-manifolds, their deformation theory and their role in Thurs...
It is known that a geometrically finite Kleinian group is quasiconformally stable. We prove that thi...
The present paper gives an example of a rigid spherical cone-manifold and that of a flexible one, wh...
Consider a 3-dimensional manifold N obtained by gluing a finite number of ideal hyperbolic tetrahedr...
Abstract. A single parameter family of polyhedra P (ψ) is con-structed in three dimensional spaces o...
A hyperbolic triangle group is the group generated by reflections in the sides of a triangle in hype...
For 3-dimensional hyperbolic cone structures with cone angles $\theta$, local rigidity is known for ...
In a recent paper Hodgson and Kerckhoff prove a local rigidity theorem for finite volume, three-dime...
We investigate local rigidity of 3-dimensional cone-manifolds with cone-angles not larger than $pi$....
We investigate local rigidity of 3-dimensional cone-manifolds with cone-angles not larger than $pi$....
We investigate the rigidity of hyperbolic cone metrics on 3-manifolds which are isometric gluing of ...
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to...
textThis thesis investigates various rigidity and flexibility phenomena of convex projective structu...
Abstract. This work is devoted to the study of deformations of hyperbolic cone structures under the ...
L'objet de cette thèse est l'étude des déformations de structures hyperboliques coniques de type top...
This is an overview on hyperbolic cone 3-manifolds, their deformation theory and their role in Thurs...
It is known that a geometrically finite Kleinian group is quasiconformally stable. We prove that thi...
The present paper gives an example of a rigid spherical cone-manifold and that of a flexible one, wh...
Consider a 3-dimensional manifold N obtained by gluing a finite number of ideal hyperbolic tetrahedr...
Abstract. A single parameter family of polyhedra P (ψ) is con-structed in three dimensional spaces o...
A hyperbolic triangle group is the group generated by reflections in the sides of a triangle in hype...