5 citations · 15 across the 5 of their papers we have counts for
5 papers
A series of word-hyperbolic Coxeter groups
Anna Felikson, Pavel Tumarkin
For each positive integer we present an example of Coxeter system such that is a word-hyperbolic Coxeter group, for any two generating reflections $s,t\in S_k…
On the volume of a six-dimensional polytope
Anna Felikson, Pavel Tumarkin
This note is a comment to the paper by D.R.Heath-Brown and B.Z.Moroz (Math Proc. Camb. Phil. Soc. 125 (1999)). That paper concerns with the projective surface in $\mathbb{P}^{3…
Spherical simplices generating discrete reflection groups
A. Felikson
Let be a simplex in and be a group generated by the reflections with respect to the facets of . We are interested in the case when the group is discrete. I…
Coxeter Decompositions of Bounded Hyperbolic Pyramids and Triangular Prisms
A. Felikson
Coxeter decompositions of hyperbolic simplices where studied in math.MG/0212010 and math.MG/0210067. In this paper we use the methods of these works to classify Coxeter decompositi…
Coxeter decompositions of hyperbolic simplices
A. Felikson
Let X be a space of constant curvature and P be a convex polyhedron in X. A Coxeter decomposition of the polyhedron P is a decomposition of P into finitely many Coxeter polyhedra,…