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A vanishing theorem for the Betti numbers of a conformally flat manifold. (Sur les nombres de Betti des variétés conformément plates.) (French) Zbl 0807.53032

Summary: Under suitable assumptions for the curvature of a conformally flat manifold, the Betti numbers around the middle dimension vanish.

MSC:

53C20 Global Riemannian geometry, including pinching
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