24 citations · 59 across the 20 of their papers we have counts for
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math.DG2018★ 9 cited
Collapsed Manifolds With Ricci Bounded Covering Geometry
Hongzhi Huang, Lingling Kong, Xiaochun Rong +1
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…
math.DG2018★ 2 cited
A Geometric Approach to the Modified Milnor Problem
Lina Chen, Xiaochun Rong, Shicheng Xu
The Milnor Problem (modified) in the theory of group growth asks whether any finite presented group of vanishing algebraic entropy has at most polynomial growth. We show that a pos…
math.DG2018★ 1 cited
Stability of pure Nilpotent Structures on collapsed Manifolds
Zuohai Jiang, Shicheng Xu
The goal of this paper is to study the stability of pure nilpotent structures on a manifold associated to different collapsed metrics. We prove that if two metrics on a -manifol…