Sergio Zamora

activity

20182026

most citedLimits of almost homogeneous spaces and their fundamental groups

3 citations · 6 across the 7 of their papers we have counts for

collaborators

7 papers

math.DG2026

Convergence of symmetries: nilpotency, dimension, and perfectness

Sergio Zamora

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

math.DG2022★ 1 cited

First Betti number and collapse

Sergio Zamora

We show that when a sequence of Riemannian manifolds collapses under a lower Ricci curvature bound, the first Betti number cannot drop more than the dimension.

math.DG2021

Fundamental groups of aspherical manifolds that collapse

Sergio Zamora

We show that if a sequence $M_{n}$ of closed aspherical $d$ -dimensional Riemannian manifolds with Ricci curvature uniformly bounded below and diameter uniformly bounded above collaps…

math.MG2020★ 3 cited

Limits of almost homogeneous spaces and their fundamental groups

Sergio Zamora

We say that a sequence of proper geodesic spaces $X_{n}$ consists of \textit{almost homogeneous spaces} if there is a sequence of discrete groups of isometries $G_n \leq \text{Iso}(X…

math.DG2020★ 2 cited

Tori Can't Collapse to an Interval

Sergio Zamora

Here we prove that under a lower sectional curvature bound, a sequence of Riemannian manifolds diffeomorphic to the standard $m$ -dimensional torus cannot converge in the Gromov--Ha…

math.MG2018

Fundamental groups and group presentations with bounded relator lengths

Sergio Zamora

We study the geometry of compact geodesic spaces with trivial first Betti number admitting large finite groups of isometries. We show that if a finite group $G$ acts by isometries…

math.MG2018

On Unfoldings of Stretched Polyhedra

Gözde Sert, Sergio Zamora

We give a short proof of a result obtained by Mohammad Ghomi concerning existence of nets of a convex polyhedron after a suitable linear transformation.