11 citations · 33 across the 8 of their papers we have counts for
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On the moduli spaces of left-invariant pseudo-Riemannian metrics on Lie groups
Akira Kubo, Kensuke Onda, Yuichiro Taketomi +1
In this paper, we formulate a procedure to obtain a generalization of Milnor frames for left-invariant pseudo-Riemannian metrics on a given Lie group. This procedure is an analogue…
Nilsolitons of H-type in the Lorentzian setting
Kensuke Onda, Phillip E. Parker
It is known that all left-invariant pseudo-Riemannian metrics on are algebraic Ricci solitons. We consider generalizations of Riemannian -type, namely pseudo-type and $…
Algebraic Ricci solitons of four-dimensional pseudo-Riemannian generalized symmetric spaces
Wafaa Batat, Kensuke Onda
We completely classify the algebraic Ricci solitons of four-dimensional pseudo-Riemannian generalized symmetric spaces.
Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups
Wafaa Batat, Kensuke Onda
We classify Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups. All algebraic Ricci solitons that we obtain are sol-solitons. In particular, we prove that, contrar…
Examples of algebraic Ricci solitons in the Pseudo-Riemannian case
Kensuke Onda
This paper provides a study of algebraic Ricci solitons in the pseudo-Riemannian case. In the Riemannian case, all nontrivial homogeneous algebraic Ricci solitons are expanding alg…
Lorentz Ricci solitons on 3-dimensional Lie groups
Kensuke Onda
The three-dimensional Heisenberg group has three left-invariant Lorentz metrics , and . They are not isometric each other. In this paper, we characterize the…