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 2019Show all

4 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.GT2019

With respect to whom are you critical?

Jin-ichi Itoh, Costin Vîlcu, Tudor Zamfirescu

For any compact Riemannian surface $S$ and any point $y$ in $S$ , $Q_{y}^{- 1}$ denotes the set of all points in $S$ , for which $y$ is a critical point. We proved \cite{BIVZ} together…

math.DG2019★ 1 cited

The structure of the conjugate locus of a general point on ellipsoids and certain Liouville manifolds

Jin-ichi Itoh, Kazuyoshi Kiyohara

It is well known since Jacobi that the geodesic flow of the ellipsoid is "completely integrable", which means that the geodesic orbits are described in a certain explicit way. Howe…