19 citations · 29 across the 8 of their papers we have counts for
8 papers
Convex Polyhedra in the -Sphere and Tilings of the -Sphere
Kentaro Ito
We show that for every convex polyhedral sphere in , there exist two canonical, non-edge-to-edge tilings of whose tiles are given by all the faces of and the d…
Linear slices close to a Maskit slice
Kentaro Ito
We consider linear slices of the space of Kleinian once-punctured torus groups; a linear slice is obtained by fixing the value of the trace of one of the generators. The linear sli…
An extension of the Maskit slice for 4-dimensional Kleinian groups
Yoshiaki Araki, Kentaro Ito
Let be a 3-dimensional Kleinian punctured torus group with ccidental parabolic transformations. The deformation space of in the group of Möbius transformations on the 2-sph…
Convergence and divergence of Kleinian punctured torus groups
Kentaro Ito
In this paper we give a necessary and sufficient condition in which a sequence of Kleinian punctured torus groups converges. This result tells us that every exotically convergent s…
Exotic projective structures and quasifuchsian spaces II
Kentaro Ito
Let be the space of projective structures on a closed surface of genus and let be the subset of of projective structures with quasifuchsian holonomy…
On continuous extension of grafting maps
Kentaro Ito
The definition of the grafting operation for quasifuchsian groups is extended by Bromberg to all -groups. Although the grafting maps are not necessarily continuous at boundary g…