4 papers · 1 filter
The moduli spaces of left-invariant statistical structures on Lie groups
Hikozo Kobayashi, Yu Ohno, Takayuki Okuda +1
In the context of information geometry, the concept known as left-invariant statistical structure on Lie groups is defined by Furuhata--Inoguchi--Kobayashi (Inf Geom 4(1):177--188,…
On Hopf hypersurfaces of the complex hyperbolic quadric with constant principal curvatures
Haizhong Li, Hiroshi Tamaru, Zeke Yao
In this paper, we study the Hopf hypersurfaces of the complex hyperbolic quadric () with constant principal curvatures. We classify th…
On Hopf hypersurfaces of the complex quadric with constant principal curvatures
Haizhong Li, Hiroshi Tamaru, Zeke Yao
In this paper, we classify the Hopf hypersurfaces of the complex quadric () with at most five distinct constant principal curvatures. We also clas…
Nilpotent Lie algebras obtained by quivers and Ricci solitons
Fumika Mizoguchi, Hiroshi Tamaru
Nilpotent Lie groups with left-invariant metrics provide non-trivial examples of Ricci solitons. One typical example is given by the class of two-step nilpotent Lie algebras obtain…