Topology and \(\epsilon\)-regularity theorems on collapsed manifolds with Ricci curvature bounds

DOI10.2140/gt.2016.20.2575zbMath1371.53034arXiv1412.1326OpenAlexW3105771969WikidataQ125705806 ScholiaQ125705806MaRDI QIDQ321672

Ruobing Zhang, Aaron Naber

Publication date: 14 October 2016

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1326

zbMATH Keywords

Ricci curvature\(\epsilon\)-regularity

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Methods of local Riemannian geometry (53B21)

Related Items (7)

\(\epsilon\)-regularity for shrinking Ricci solitons and Ricci flows ⋮ Fibrations and stability for compact group actions on manifolds with local bounded Ricci covering geometry ⋮ Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature ⋮ Collapsed manifolds with Ricci bounded covering geometry ⋮ Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing ⋮ Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface ⋮ Ricci flow smoothing for locally collapsing manifolds

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