Xin Qian

collaborators

2 papers

math.DG2024

Rigidity and regularity for almost homogeneous spaces with Ricci curvature bounds

Xin Qian

We say that a metric space $X$ is $(ε, G)$ -homogeneous if $G < I so (X)$ is a discrete group of isometries with $d iam (X / G) < ε$ .\ A sequence of $(ε_{i}, G_{i})$ -homogeneous spaces $X_{i}$ with $…

math.MG2022

RCD(0,N)-spaces with small linear diameter growth

Xin Qian

In this paper, we study some structure properties on the (revised) fundamental group of RCD(0,N) spaces. Our main result generalizes earlier work of Sormani on Riemannian manifolds…