Add to ORKGWe observe that a large part of the volume of a hyperbolic polyhedron is taken by a tubular neighbourhood of its boundary, and use this to give a new proof for the finiteness of arithmetic maximal reflection groups following a recent work with M. Fraczyk and S. Hurtado. We also study in more depth the case of polygons in the hyperbolic plane
AbstractWe consider compact hyperbolic Coxeter polytopes whose Coxeter diagram contains a unique dot...
textThis thesis investigates the geometric and topological constraints placed on the quotient space ...
In this paper, we obtain the complete classification for compact hyperbolic Coxeter four-dimensional...
This thesis concerns hyperbolic Coxeter polytopes, their reflection groups and associated combinator...
In contrast to the fact that there are only finitely many maximal arithmetic reflection groups actin...
"Geometry and Analysis of Discrete Groups and Hyperbolic Spaces". June 22～26, 2015. edited by Michih...
For Coxeter groups acting non-cocompactly but with finite covolume on real hyperbolic space Hn, new...
In [7], Kellerhals and Perren conjectured that the growth rates of the reflection groups given by c...
Upper and lower bounds are given for the maximum Euclidean curvature among faces in Bianchi's fundam...
Les groupes de Coxeter hyperboliques forment une classe importante de sous-groupes discrets de Isom ...
AbstractA connection between real poles of the growth functions for Coxeter groups acting on hyperbo...
A convex polytope admits a Coxeter decomposition if it is tiled by finitely many Coxeter polytopes s...
The main theme of this work is the study of geometry and topology of locally symmetric spaces Γ\X as...
Abstract1.(1) We construct hyperbolic Coxeter groups with boundaries homeomorphic to Pontryagin surf...
This paper focuses on the investigation of volumes of large Coxeter hyperbolic polyhedron. First, th...
AbstractWe consider compact hyperbolic Coxeter polytopes whose Coxeter diagram contains a unique dot...
textThis thesis investigates the geometric and topological constraints placed on the quotient space ...
In this paper, we obtain the complete classification for compact hyperbolic Coxeter four-dimensional...
This thesis concerns hyperbolic Coxeter polytopes, their reflection groups and associated combinator...
In contrast to the fact that there are only finitely many maximal arithmetic reflection groups actin...
"Geometry and Analysis of Discrete Groups and Hyperbolic Spaces". June 22～26, 2015. edited by Michih...
For Coxeter groups acting non-cocompactly but with finite covolume on real hyperbolic space Hn, new...
In [7], Kellerhals and Perren conjectured that the growth rates of the reflection groups given by c...
Upper and lower bounds are given for the maximum Euclidean curvature among faces in Bianchi's fundam...
Les groupes de Coxeter hyperboliques forment une classe importante de sous-groupes discrets de Isom ...
AbstractA connection between real poles of the growth functions for Coxeter groups acting on hyperbo...
A convex polytope admits a Coxeter decomposition if it is tiled by finitely many Coxeter polytopes s...
The main theme of this work is the study of geometry and topology of locally symmetric spaces Γ\X as...
Abstract1.(1) We construct hyperbolic Coxeter groups with boundaries homeomorphic to Pontryagin surf...
This paper focuses on the investigation of volumes of large Coxeter hyperbolic polyhedron. First, th...
AbstractWe consider compact hyperbolic Coxeter polytopes whose Coxeter diagram contains a unique dot...
textThis thesis investigates the geometric and topological constraints placed on the quotient space ...
In this paper, we obtain the complete classification for compact hyperbolic Coxeter four-dimensional...