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math.DG2022
Canonical nilpotent structure under bounded Ricci curvature and Reifenberg local covering geometry over regular limits
Zuohai Jiang, Lingling Kong, Shicheng Xu
It is known that a closed collapsed Riemannian -manifold of bounded Ricci curvature and Reifenberg local covering geometry admits a nilpotent structure in the sense of C…
math.DG2022
Convergence of Ricci-limit spaces under bounded Ricci curvature and local covering geometry I
Zuohai Jiang, Lingling Kong, Shicheng Xu
We extend Cheeger-Gromov's and Anderson's convergence theorems to regular limit spaces of manifolds with bounded Ricci curvature and local covering geometry, by establishing the $C…