Cuifang Si

collaborators

2 papers

math.DG2026

Gromov-Hausdorff limit of orthonormal frame bundles of non-collapsed manifolds with bounded Ricci curvature

Cuifang Si, Shicheng Xu

Let $M_{i}$ be a sequence of non-collapsed $n$ -manifolds with two-sidedly bounded Ricci curvature. We show that the Gromov-Haudorff limit space, $Y$ , of the associated sequence of or…

math.DG2025

Rigidity for Einstein manifolds under bounded covering geometry

Cuifang Si, Shicheng Xu

In this note we prove three rigidity results for Einstein manifolds with bounded covering geometry. (1) An almost flat manifold $(M, g)$ must be flat if it is Einstein, i.e. $\opera…