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math.DG2009★ 8 cited
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…
math.DG2009★ 1 cited
Ricci Flow on 3-dimensional Lie groups and 4-dimensional Ricci-flat manifolds
Kensuke Onda
We study relation of the Ricci Flow on 3-dimensional Lie groups and 4-dimensional Ricci-flat manifolds. In particular, we construct Ricci-flat cohomogeneity one metrics with respec…