Research profile

Shicheng Xu

Works on (Non)collapsing, homogeneous spaces and Ricci flow.

NP-RC-8533500000-0001-5088-4818

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(Non)collapsingHomogeneous spacesRicci flow

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Frequent co-authors of Shicheng Xu Shicheng Xu in the centre and 3 co-authors around them, closer for more joint papers on this site. Xu Hongzhi Huang: 1 joint workHHHuang Lingling Kong: 1 joint workLKKong Xiaochun Rong: 1 joint workXRRong
Closer to the centre: more joint work here. have also written together
  1. Hongzhi Huang

    1 joint worklatest 2018

  2. Lingling Kong

    1 joint worklatest 2018

  3. Xiaochun Rong

    1 joint worklatest 2018

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2018

math.DGarXiv:1808.03774

Collapsed Manifolds With Ricci Bounded Covering Geometry

Hongzhi Huang, Lingling Kong, Xiaochun Rong, Shicheng Xu

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.

Ricci flow(Non)collapsingHomogeneous spaces
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NP-RC-853350 is Shicheng Xu's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

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