On the topology of nonnegatively curved simply connected 4-manifolds with discrete symmetry

DOI10.1215/S0012-7094-94-07418-8zbMath0833.57006MaRDI QIDQ1331683

Da-Gang Yang

Publication date: 4 October 1994

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

total Betti number4-manifolds that carry smooth metrics of positive or nonnegative sectional curvatureseffective isometric \(\mathbb{Z}_ p\) actions

Mathematics Subject Classification ID

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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