44 citations · 67 across the 9 of their papers we have counts for
10 papers
Rigidity of -type symmetric spaces
Wafaa Batat, Stuart James Hall, Thomas Murphy +1
We prove that the bi-invariant Einstein metric on is isolated in the moduli space of Einstein metrics, even though it admits infinitesimal deformations. This gives a no…
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…
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…
Destabilising compact warped product Einstein manifolds
Wafaa Batat, Stuart James Hall, Thomas Murphy
The linear stability of warped product Einstein metrics as fixed points of the Ricci flow is investigated. We generalise the results of Gibbons, Hartnoll and Pope and show that in…
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…
Four-dimensional naturally reductive pseudo-Riemannian spaces
Wafaa Batat, Marco Castrillon Lopez, Eugenia Rosado Maria
The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally re…