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Simply connected manifolds of positive scalar curvature. (English) Zbl 0719.53018

Using techniques from stable homotopy theory, the author proves that if M is a spin manifold with positive scalar curvature, then the KO- characteristic number \(\alpha\) (M) vanishes.

MSC:

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