6 citations · 28 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Orientable cut locus structures on graphs
Jin-ichi Itoh, Costin Vîlcu
We showed in another paper [arXiv:1103.1759] that every connected graph can be realized as the cut locus of some point on some riemannian surface . Here, criteria for the orient…
Every graph is a cut locus
Jin-ichi Itoh, Costin Vîlcu
We prove that every connected graph can be realized as the cut locus of some point on some Riemannian surface which, in some cases, has constant curvature. We study the stabili…
The cut loci on ellipsoids and certain Liouville manifolds
Jin-ichi Itoh, Kazuyoshi Kiyohara
We show that some riemannian manifolds diffeomorphic to the sphere have the property that the cut loci of general points are smoothly embedded closed disks of codimension one. Elli…