4 citations · 7 across the 5 of their papers we have counts for
5 papers
On the growth rate of ideal Coxeter groups in hyperbolic 3-space
Yohei Komori, Tomoshige Yukita
We study the set G of growth rates of of ideal Coxeter groups in hyperbolic 3-space which consists of real algebraic integers greater than 1. We show that (1) G is unbounded above…
On 3-dimensional hyperbolic Coxeter pyramids
Yohei Komori, Yuriko Umemoto
After classifying 3-dimensional hyperbolic Coxeter pyramids by means of elementary plane geometry, we calculate growth functions of corresponding Coxeter groups by using Steinberg…
Linear slices of the quasifuchsian space of punctured tori
Yohei Komori, Yasushi Yamashita
After fixing a marking (V, W) of a quasifuchsian punctured torus group G, the complex length l_V and the complex twist tau_V,W parameters define a holomorphic embedding of the quas…
The Banach-Tarski paradox for flag manifolds
Yohei Komori, Yuriko Umemoto
The famous Banach-Tarski paradox claims that the three dimensional rotation group acts on the two dimensional sphere paradoxically. In this paper, we generalize their result to sho…
The Riley slice revisited
Yohei Komori, Caroline Series
In [4]: `The Riley slice of Schottky space', (Proc. London Math. Soc. 69 (1994), 72-90), Keen and Series analysed the theory of pleating coordinates in the context of the Riley sli…