Showing 2025Show all
3 papers · 1 filter
math.DG2025
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}…
math.DG2025
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.
math.DG2025
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…