COLLAPSED MANIFOLDS WITH RICCI BOUNDED COVERING GEOMETRY
COLLAPSED MANIFOLDS WITH RICCI BOUNDED COVERING GEOMETRY
复制标题
具有 RICCI 边界覆盖几何形状的折叠歧管
DOI：
10.1090/tran/8177
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发表时间：
2020
影响因子：
1.3
通讯作者：
Xu Shicheng
中科院分区：
文献类型：
--
作者：
Huang Hongzhi;Kong Lingling;Rong Xiaochun;Xu Shicheng
We study collapsed manifolds with Ricci bounded covering geometry, i.e., Ricci curvature is bounded below and the Riemannian universal cover is non-collapsed or consists of uniform Reifenberg points. Applying the techniques in the Ricci flow, we partially extend the nilpotent structural results of Cheeger-Fukaya-Gromov, on the collapsed manifolds with (sectional curvature) local bounded covering geometry, to the manifolds with (global) Ricci bounded covering geometry.
