3 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
The geometry of a positively curved Zoll surface of revolution
K. Kiyohara, S. V. Sabau, K. Shibuya
In this paper, we study the geometry of the manifolds of geodesics of a Zoll surface of positive Gauss curvature, show how these metrics induce Finsler metrics of constant flag cur…
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…
On a class of Kähler manifolds whose geodesic flows are integrable
Kazuyoshi Kiyohara
We study -dimensional Kähler manifolds whose geodesic flows possess first integrals in involution that are fibrewise hermitian forms and simultaneously normalizable. Under s…