M. Zarei

collaborators

5 papers

math.DG2026

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…

math.DG2026

Ricci Flow Preserves Positive Sectional Curvature on Homogeneous Spheres

Jason DeVito, David GonzÃ¡lez-Ãlvaro, 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…

math.DG2025

Positive sectional curvature is not preserved under the Ricci flow in dimensions seven and thirteen

David GonzÃ¡lez-Ãlvaro, Masoumeh Zarei

We prove that there exist $SU_{3}$ -invariant metrics on Aloff-Wallach spaces $W_{k_{1}, k_{2}}^{7}$ , as well as $SU_{5}$ -invariant metrics on the Berger space $B^{13}$ ,…

math.DG2025

Positive intermediate curvatures and Ricci flow

David GonzÃ¡lez-Ãlvaro, Masoumeh Zarei

We show that, for any $n \geq 2$ , there exists a homogeneous space of dimension $d = 8 n - 4$ with metrics of $Ric_{\frac{d}{2} - 5} > 0$ if $n \neq = 3$ and $Ric_{6} > 0$ if $n=3…

math.DG2025

Ricci flow from singular spaces with bounded curvature

Diego Corro, Masoumeh Zarei, Adam Moreno

We show the existence of a solution to the Ricci flow with a compact length space of bounded curvature, i.e., a space that has curvature bounded above and below in the sense of Ale…