3 citations · 5 across the 10 of their papers we have counts for
3 papers · 1 filter
Local Topology of Riemannian Manifolds with Lower Intermediate Ricci Curvature Bounds
Philipp Reiser, Masoumeh Zarei
We prove a vanishing theorem for the local Betti numbers of closed, -dimensional Riemannian manifolds with a lower volume bound, an upper diameter bound, and a lower intermediat…
Precompactness for homogeneous Einstein metrics on torus bundles
Anusha M. Krishnan, Vincent P. N. Wolff, Masoumeh Zarei
We prove a precompactness result for homogeneous Einstein metrics on the set of homogeneous torus bundles over a common base. This set can contain infinite families of compact simp…
Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres
Jason DeVito, David González-Álvaro, Masoumeh Zarei
We prove that the Ricci flow preserves positive sectional curvature on homogeneous spheres and complex projective spaces. In conjunction with prior results, this completes the clas…