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, ${\mathrm{Ric}}_M\ge (n-1)$, has the maximal…