87 citations · 234 across the 23 of their papers we have counts for
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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…
-orderings: From Slater to Kemeny-Young to Ranked Pairs
Amir Babak Aazami, Hubert Lewis Bray
We introduce a family of ranking rules for preferential elections, called -orderings, obtained by minimizing the -norm of the pairwise majority margins that disagree with a g…
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.