Existence of RCD(2,3) metrics on spherical space forms producing Ricci-limit cones
Determine whether, for each discrete group Γ < O(4) acting freely on S^3, there exists an RCD(2,3) metric on the spherical space form S^3/Γ such that the metric cone C(S^3/Γ) is realized as a noncollapsed Ricci limit space.
References
Question 1.15. Let Γ < O(4) be a discrete group acting freely on S . Is there an RCD(2,3) metric over S /Γ such that C(S /Γ) is a noncollapsed Ricci limit space?
— Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below
(2405.03839 - Bruè et al., 6 May 2024) in Question 1.15, Section 1.6 (Open questions)