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arXiv · 1808.03774

Collapsed Manifolds With Ricci Bounded Covering Geometry

Hongzhi Huang·Lingling Kong·Xiaochun Rong·Shicheng Xu
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Abstract

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. Via Ricci flows' techniques, we partially extend the nilpotent structural results of Cheeger-Fukaya-Gromov, on collapsed manifolds with (sectional curvature) local bounded covering geometry, to manifolds with (global) Ricci boundedcovering geometry.

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Hongzhi Huang, Lingling Kong, Xiaochun Rong, Shicheng Xu. 2018-08-11. Collapsed Manifolds With Ricci Bounded Covering Geometry. https://arxiv.org/abs/1808.03774

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