Pinching and Betti numbers

DOI10.1007/BF00054492zbMath0535.53033MaRDI QIDQ791175

Dominique Hulin

Publication date: 1985

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Betti numberpinching condition

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Les variétés riemanniennes de dimension 4 4/19-pincées. (4/19- pinched Riemannian manifolds of dimension 4) ⋮ Existence and Uniqueness of Algebraic Curvature Tensors with Prescribed Properties and an Application to the Sphere Theorem ⋮ From vanishing theorems to estimating theorems: the Bochner technique revisited

Cites Work

• Le second nombre de Betti d'une variété riemannienne \((\frac{1}{4}-\epsilon)\)-pincée de dimension 4
• Sur les variétés riemanniennes pincées juste au-dessous de 1/4
• Pinching implies strong pinching
• A Short Proof of Berger's Curvature Tensor Estimates

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