Year: 2026
Type: article
Abstract: The present article explores the relationship between positive sectional curvature and the geometric and topological properties of Eschenburg 6-orbifolds. First, we prove that positive sectional curvature imposes restrictions on their singular sets, thereby confirming a conjecture posed by Florit and Ziller. Then we compute the orbifold cohomology rings of those with a specific singular locus. This reveals a distinctive behaviour in the cohomology groups of positively curved Eschenburg orbifolds compared to their non-negatively curved counterparts. Furthermore, we compute the orbifold cohomology rings of all Eschenburg orbifolds.
Source: Mathematische Annalen
Authors: Dennis Wulle, Masoumeh Zarei
Institutions: University of Münster, Universität Hamburg
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7128808418