87 citations · 234 across the 23 of their papers we have counts for
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math.DG2020
Killing vector fields on Riemannian and Lorentzian 3-manifolds
Amir Babak Aazami, Robert Ream
We give a complete local classification of all Riemannian 3-manifolds admitting a nonvanishing Killing vector field . We then extend this classification to timelike Kill…
math.DG2020
Riemannian counterparts to Lorentzian space forms
Amir Babak Aazami
On a smooth -manifold with , we study pairs consisting of a Riemannian metric and a unit length closed vector field . Motivated by how Ricci soliton…
math.DG2020
On the Einstein condition for Lorentzian 3-manifolds
Amir Babak Aazami
It is well known that in Lorentzian geometry there are no compact spherical space forms; in dimension 3, this means there are no closed Einstein 3-manifolds with positive Einstein…