Jin-ichi Itoh

activity

20072021

most citedOn the number of cut locus structures on graphs

6 citations · 28 across the 11 of their papers we have counts for

collaborators

Showing math.MGShow all

5 papers · 1 filter

math.MG2019

Locating diametral points

Jin-ichi Itoh, Costin Vîlcu, Liping Yuan +1

Let $K$ be a convex body in $R^{d}$ , with $d = 2, 3$ . We determine sharp sufficient conditions for a set $E$ composed of $1$ , $2$ , or $3$ points of $bd K$ , to contain a…

math.MG2019

Some inequalities for tetrahedra

Jin-ichi Itoh, Joël Rouyer, Costin Vîlcu

We prove inequalities involving intrinsic and extrinsic radii and diameters of tetrahedra.

math.MG2017

Polyhedra with simple dense geodesics

Jin-Ichi Itoh, Joël Rouyer, Costin Vîlcu

We determine (non-necessarily convex) polyhedra having simple dense geodesics.

math.MG2013★ 2 cited

Moderate smoothness of most Alexandrov surfaces

Jin-ichi Itoh, Joel Rouyer, Costin Vilcu

We show that, in the sense of Baire category, most Alexandrov surfaces with curvature bounded below by $κ$ have no conical points. We use this result to prove that at most points o…

math.MG2013

On the Theorem of the Three Perpendiculars

Jin-ichi Itoh, Joel Rouyer, Costin Vilcu

We show that the theorem of the three perpendiculars holds in any n-dimensional space form.