Year: 2025
Type: article
Abstract: 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 from above. This partially recovers a result of Kloeckner and Sabourau [J. Topol. Anal. 12 (2020), pp. 713–734], whose original proof contains a serious gap that currently lacks a resolution.
DOI: 10.1090/proc/17473
Author: Sergio Zamora
Institution: Oregon State University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416664542