7 papers · 1 filter
Homogeneity of magnetic geodesics in the Heisenberg group
Jun-ichi Inoguchi, Marian Ioan Munteanu
We prove that magnetic geodesics in the -dimensional Heisenberg group derived from the canonical contact structure are homogeneous.
A classification of constant Gaussian curvature surfaces in the three-dimensional hyperbolic space
Junichi Inoguchi, Shimpei Kobayashi
We classify weakly complete constant Gaussian curvature surfaces in the hyperbolic three-space in terms of holomorphic quadratic differentials. For this purpose, we first…
Homogeneity of magnetic trajectories in the Berger sphere
Jun-ichi Inoguchi, Marian Ioan Munteanu
We study the homogeneity of contact magnetic trajectories in naturally reductive Berger spheres. We prove that every contact magnetic trajectory is a product of a homogeneous geode…
Homogeneous structures of -dimensional Lie groups
Jun-ichi Inoguchi, Yu Ohno
We give a classification of homogeneous Riemannian structures on (non locally symmetric) -dimensional Lie groups equipped with left invariant Riemannian metrics. This work toget…
Homogeneous structures of -dimensional Sasakian space forms
Jun-ichi Inoguchi, Yu Ohno
We give explicit parametrizations for all the homogeneous contact Riemannian structures on -dimensional Sasakian space forms.
Homogeneous statistical manifolds
Jun-ichi Inoguchi, Yu Ohno
The methods of Information geometry have been glowing up to develop various subjects of theoretical physics, including quantum information systems. The present article has two purp…