Xiaochun Rong

collaborators

3 papers

math.DG2025

Gromov-Hausdorff Limits of Aspherical Manifolds

Xiaochun Rong

Let $X$ be a compact Gromov-Hausdorff limit space of a collapsing sequence of compact $n$ -manifolds, $M_{i}$ , of Ricci curvature $Ric_{M_{i}} \geq - (n - 1)$ and all points in $M_{i}$ …

math.DG2025

Open Alexandrov spaces of nonnegative curvature

Xueping Li, Xiaochun Rong

Let $X$ be an open (i.e. complete, non-compact and without boundary) Alexandrov $n$ -space of nonnegative curvature with a soul $S$ . In this paper, we will establish several structu…

math.DG2024

Quantitative Maximal Diameter Rigidity of Positive Ricci Curvature

Tianyin Ren, Xiaochun Rong

In Riemannian geometry, the Cheng's maximal diameter rigidity theorem says that if a complete $n$ -manifold $M$ of Ricci curvature, $Ric_{M} \geq (n - 1)$ , has the maximal…