Sergio Zamora

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math.DG2025

Non-collapsed eGH convergence and dimension

Jesús Núñez-Zimbrón, Jaime Santos-Rodríguez, Sergio Zamora

Let $(X_{i}, p_{i})$ be a non-collapsing sequence of pointed $n$ -dimensional Riemannian manifolds with a uniform lower Ricci curvature bound, and $G_{i} \leq Iso (X_{i})$ a…

math.DG2025

Torus covers with controlled volume and diameter

Sergio Zamora

We show that under a lower Ricci curvature bound and an upper diameter bound, a torus admits a finite-sheeted covering space with volume bounded from below and diameter bounded fro…

math.DG2024

Topological rigidity of small RCD(K,N) spaces with maximal rank

Sergio Zamora, Xingyu Zhu

For a polycyclic group $Λ$ , $rank (Λ)$ is defined as the number of $Z$ factors in a polycyclic decomposition of $Λ$ . For a finitely generated group $G$ , $\text{rank…