87 citations · 234 across the 23 of their papers we have counts for
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On normal forms of gradient Ricci 4-solitons
Amir Babak Aazami
In this note we analyze the normal form of the operator of a gradient Ricci 4-soliton in Cao & Tran. In particular, we show that the curvature operat…
Higher Self-Duality
Amir Babak Aazami
We use the totally trace-free component of Thorpe's middle curvature operator to define higher self-duality on oriented Riemannian -manifolds. We…
Hodge Splittings and Einstein 4-manifolds
Amir Babak Aazami
On an oriented -manifold, we study pairs of Riemannian metrics for which the curvature tensor of preserves the Hodge splitting determined by . This extends the Ei…
On the Curvature and Topology of Compact Stationary Spacetimes
Amir Babak Aazami
Using the result of Petersen & Wink '21, we find obstructions to the curvature and topology of compact Lorentzian manifolds admitting a unit-length timelike Killing vector field.
Petrov Types for the Weyl Tensor via the Riemannian-to-Lorentzian Bridge
Amir Babak Aazami
We analyze oriented Riemannian 4-manifolds whose Weyl tensors satisfy the conformally invariant condition for some nonzero vector . While this can b…
The Eisenhart Lift and Hamiltonian Systems
Amir Babak Aazami
It is well known in general relativity that trajectories of Hamiltonian systems lift to geodesics of pp-wave spacetimes, an example of a more general phenomenon known as the "Eisen…