M. Zarei

activity

20152026

most citedThe flavour of intermediate Ricci and homotopy when studying submanifolds of symmetric spaces

3 citations · 5 across the 10 of their papers we have counts for

collaborators

12 papers

math.DG2026

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, $n$ -dimensional Riemannian manifolds with a lower volume bound, an upper diameter bound, and a lower intermediat…

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 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…

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…

math.DG2024

On the Geometry and Topology of Positively Curved Eschenburg Orbifolds

Dennis Wulle, Masoumeh Zarei

The present article explores the relationship between positive sectional curvature and the geometric and topological properties of Eschenburg $6$ -orbifolds. First, we prove that po…

math.DG2024

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

David González-Álvaro, 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.DG2023

Positive intermediate curvatures and Ricci flow

David González-Álvaro, 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.DG2020★ 3 cited

The flavour of intermediate Ricci and homotopy when studying submanifolds of symmetric spaces

Manuel Amann, Peter Quast, Masoumeh Zarei

We introduce a new technique to the study and identification of submanifolds of simply-connected symmetric spaces of compact type based upon an approach computing $k$ -positive Ricc…

math.DG2019

On the equivariant cohomology of cohomogeneity one Alexandrov spaces

Manuel Amann, Masoumeh Zarei

We give a characterization of those Alexandrov spaces admitting a cohomogeneity one action of a compact connected Lie group $G$ for which the action is Cohen--Macaulay. This genera…

math.DG2019★ 2 cited

Torus actions on Alexandrov 4-spaces

Diego Corro, Jesús Núñez-Zimbrón, Masoumeh Zarei

We obtain an equivariant classification for orientable, closed, four-dimensional Alexandrov spaces admitting an isometric torus action. This generalizes the equivariant classificat…

math.DG2017

Cohomogeneity one Alexandrov spaces in low dimensions

Fernando Galaz-Garcia, Masoumeh Zarei

We classify closed, simply-connected cohomogeneity-one Alexandrov spaces in dimensions $5$ , $6$ and $7$ . We show that every closed, simply-connected smooth $n$ -orbifold, $2\leq n\l…

math.GT2015

Cohomogeneity one topological manifolds revisited

Fernando Galaz-Garcia, Masoumeh Zarei

We prove a structure theorem for closed topological manifolds of cohomogeneity one; this result corrects an oversight in the literature. We complete the equivariant classification…