Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter

DOI10.1007/BF02249258zbMath0863.53026OpenAlexW2043930314MaRDI QIDQ1919141

Jeff Cheeger, Xiaochun Rong

Publication date: 1 August 1996

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58231

zbMATH Keywords

bounded diameterbounded curvatureGromov's conjecturepolarized \(F\)-structure

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

On the long-time behavior of immortal Ricci flows ⋮ Singular Riemannian foliations and applications to positive and non-negative curvature: Figure 1. ⋮ Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing ⋮ A Bochner theorem and applications ⋮ F-structure on collapsed orbifolds ⋮ Some examples of vanishing Yamabe invariant and minimal volume, and collapsing of inequivalent smoothings and PL-structures

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