4 citations · 5 across the 2 of their papers we have counts for
4 papers
Ricci solitons of special Lorentzian Lie groups with a four-dimensional isometry group
Giovanni Calvaruso, Lorenzo Pellegrino, Amirhesam Zaeim
In the framework of the study of homogeneous Lorentzian three-manifolds, we consider here the only class of examples which admit a four-dimensional group of isometries but are neit…
On symmetries of the Heisenberg group
Wafaa Batat, Amirhesam Zaeim
We consider the three-dimensional Heisenberg group, equipped with any left-invariant metric, either Lorentzian or Riemannian. We completely classify their affine vector fields and…
Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature
Giovanni Calvaruso, Amirhesam Zaeim
Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full…
On Lorentzian two-symmetric manifolds of dimension four
A. Zaeim, M. Chaichi, Y. Aryanejad
We study curvature properties of four-dimensional Lorentzian manifold with two-symmetry property. We then consider Einstein-like metrics, Ricci solitons and homogeneity over these…