The existence of polarized \(F\)-structures on volume collapsed 4- manifolds
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Publication:1308873
DOI10.1007/BF01896239zbMath0813.53030OpenAlexW2105545680MaRDI QIDQ1308873
Publication date: 20 December 1993
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/58143
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) (G)-structures (53C10)
Related Items
Rationality of geometric signatures of complete 4-manifolds ⋮ Smoothing Riemannian metrics with Ricci curvature bounds ⋮ Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing
Cites Work
- Unnamed Item
- The limiting eta invariants of collapsed three-manifolds
- Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces)
- 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
- A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters
- The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations
- Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
- Characteristic forms and geometric invariants
- The fundamental equations of a submersion
- Vector fields and characteristic numbers
- Infinitesimal isometries and Pontryagin numbers
- Spectral Asymmetry and Riemannian Geometry
- Nilpotent Structures and Invariant Metrics on Collapsed Manifolds
- Spectral asymmetry and Riemannian Geometry. I
- Circle Actions on Simply Connected 4-Manifolds
- Classification of Circle Actions on 4-Manifolds
- Almost flat manifolds