3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DG2017★ 1 cited
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…
math.DG2017★ 1 cited
Totally umbilical surfaces in three-manifolds with a parallel null vector field
Wafaa Batat, Stuart James Hall
We study non-degenerate, totally umbilical surfaces of a special class of pseudo-Riemannian manifolds, namely Walker three-manifolds. We show that such surfaces are either one of a…
math.DG2015★ 3 cited
Conformally Kähler geometry and quasi-Einstein metrics
Wafaa Batat, Stuart James Hall, Ali Jizany +1
We prove that the quasi-Einstein metrics found by Lü, Page and Pope on -bundles over Fano Kähler-Einstein bases are conformally Kähler and that the Kähler class of…