7 papers
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 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…
On the curvature operator in dimensions
Amir Babak Aazami
We study oriented Riemannian -manifolds whose Thorpe curvature operator , or its Weyl analogue $\hat{W}_{2n}…
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.
Geometry via Plane wave limits
Amir Babak Aazami
Utilizing the covariant formulation of Penrose's plane wave limit by Blau et~al., we construct for any semi-Riemannian metric a family of "plane wave limits." These limits are…