87 citations · 234 across the 23 of their papers we have counts for
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math.DG2015
On the principal Ricci curvatures of a Riemannian 3-manifold
Amir Babak Aazami, Charles M. Melby-Thompson
We study global obstructions to the eigenvalues of the Ricci tensor on a Riemannian 3-manifold. As a topological obstruction, we first show that if the 3-manifold is closed, then c…
gr-qc2015
The geometry of gravitational lensing magnification
Amir Babak Aazami, Marcus C. Werner
We present a definition of unsigned magnification in gravitational lensing valid on arbitrary convex normal neighborhoods of time oriented Lorentzian manifolds. This definition is…
math.DG2015
Symplectic 4-manifolds via Lorentzian geometry
Amir Babak Aazami
We observe that, in dimension four, symplectic forms may be obtained via Lorentzian geometry; in particular, null vector fields can give rise to exact symplectic forms. That a null…