24 citations · 69 across the 23 of their papers we have counts for
23 papers
Cohomogeneity one actions on symmetric spaces of mixed type
Tomas Otero, Ivan Solonenko, Hiroshi Tamaru
In this article, we study isometric cohomogeneity-one actions on symmetric spaces of mixed type, i.e., those whose universal cover splits as a nontrivial product of symmetric space…
Codimension one Ricci soliton subgroups of solvable Iwasawa groups
Miguel Dominguez-Vazquez, Victor Sanmartin-Lopez, Hiroshi Tamaru
Recently, Jablonski proved that, to a large extent, a simply connected solvable Lie group endowed with a left-invariant Ricci soliton metric can be isometrically embedded into the…
A classification of left-invariant symplectic structures on some Lie groups
Luis Pedro Castellanos Moscoso, Hiroshi Tamaru
We are interested in the classification of left-invariant symplectic structures on Lie groups. Some classifications are known, especially in low dimensions. In this paper we establ…
A classification of left-invariant Lorentzian metrics on some nilpotent Lie groups
Yuji Kondo, Hiroshi Tamaru
It has been known that there exist exactly three left-invariant Lorentzian metrics up to scaling and automorphisms on the three dimensional Heisenberg group. In this paper, we clas…
Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces
Jong Taek Cho, Takahiro Hashinaga, Akira Kubo +2
Ricci soliton contact metric manifolds with certain nullity conditions have recently been studied by Ghosh and Sharma. Whereas the gradient case is well-understood, they provided a…
Flat connected finite quandles
Yoshitaka Ishihara, Hiroshi Tamaru
Quandles can be regarded as generalizations of symmetric spaces. In the study of symmetric spaces, the notion of flatness plays an important role. In this paper, we define the noti…