Collapsed Riemannian manifolds with bounded diameter and bounded covering geometry
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Publication:1901995
DOI10.1007/BF01895665zbMath0843.53039WikidataQ115393082 ScholiaQ115393082MaRDI QIDQ1901995
Publication date: 15 August 1996
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/58187
injectivity radiusPontryagin classbounded diameterbounded covering geometrycanonical \(F\)-structurecollapsed metric
Related Items
Existence of polarized \(F\)-structures on collapsed manifolds with bounded curvature and diameter ⋮ Collapsing with a lower bound on the curvature operator ⋮ Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing ⋮ Precompactness of solutions to the Ricci flow in the absence of injectivity radius estimates ⋮ A Bochner theorem and applications
Cites Work
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- The limiting eta invariants of collapsed three-manifolds
- Collapsing Riemannian manifolds while keeping their curvature bounded. II
- Collapsing Riemannian manifolds to ones with lower dimension. II
- Collapsing Riemannian manifolds to ones of lower dimensions
- Collapsing Riemannian manifolds while keeping their curvature bounded. I
- Lipschitz convergence of Riemannian manifolds
- A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters
- Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
- Compact manifolds of nonpositive curvature
- VOLUME AND THE FUNDAMENTAL GROUP OF A MANIFOLD OF NONPOSITIVE CURVATURE
- Nilpotent Structures and Invariant Metrics on Collapsed Manifolds
- Finiteness Theorems for Riemannian Manifolds
- Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
- Almost flat manifolds
- Almost flat manifolds
