On the topology of nonnegatively curved simply connected 4-manifolds with discrete symmetry
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Publication:1331683
DOI10.1215/S0012-7094-94-07418-8zbMath0833.57006MaRDI QIDQ1331683
Publication date: 4 October 1994
Published in: Duke Mathematical Journal (Search for Journal in Brave)
total Betti number4-manifolds that carry smooth metrics of positive or nonnegative sectional curvatureseffective isometric \(\mathbb{Z}_ p\) actions
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Related Items (8)
On the topology of nonnegatively curved simply connected 4-manifolds with continuous symmetry ⋮ Obstructions to positive curvature and symmetry ⋮ The number of exceptional orbits of a pseudofree circle action on \(S^{5}\) ⋮ Scalar curvature via local extent ⋮ Finite isometry groups of 4-manifolds with positive sectional curvature ⋮ Homeomorphism classification of positively curved manifolds with almost maximal symmetry rank ⋮ On nonnegatively curved 4-manifolds with discrete symmetry ⋮ Collapsed 5-manifolds with pinched positive sectional curvature
Cites Work
- The topology of four-dimensional manifolds
- Positive Ricci curvature on the connected sums of \(S^ n\times S^ m\)
- On the topology of positively curved 4-manifolds with symmetry
- Manifolds with positive curvature
- The classification of simply connected manifolds of positive scalar curvature
- Curvature, diameter and Betti numbers
- Positively curved manifolds with maximal symmetry-rank
- On the topology of nonnegatively curved simply connected 4-manifolds with continuous symmetry
- An application of gauge theory to four dimensional topology
- Some examples of manifolds of nonnegative curvature
- New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry
- ON THE CONNECTIVITY OF SPACES OF POSITIVE CURVATURE
- Compact four-dimensional Einstein manifolds
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