3 papers
math.DG2025
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…
math.DG2024
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…
math.DG2024
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.