Simply connected manifolds of positive scalar curvature

DOI10.1090/S0273-0979-1990-15951-8zbMath0719.53018MaRDI QIDQ5751522

Stephan Stolz

Publication date: 1990

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spin manifoldpositive scalar curvaturestable homotopy theorycharacteristic number

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Other types of cobordism (57R90) Adams spectral sequences (55T15)

Related Items (4)

On mod 2 and higher elliptic genera ⋮ Scalar-flat closed manifolds not admitting positive scalar curvature metrics ⋮ Deforming Ricci positive metrics ⋮ On a theorem of Ambrose

Cites Work

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• \(C^ *\)-algebras, positive scalar curvature, and the Novikov conjecture. III
• The classification of simply connected manifolds of positive scalar curvature
• \(\mathbf H\mathbf P^ 2\)-bundles and elliptic homology
• Harmonic spinors
• The structure of the Spin cobordism ring
• H ∗ (MO 〈8 〉; Z/2) is an Extended A ∗ 2 -Coalgebra
• Simply Connected Spin Manifolds with Positive Scalar Curvature
• Uniqueness of BSO
• Eilenberg-Mac Lane Spectra

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